Maurer/Stier 2010 Annual
Letter
smaurer1@swarthmore.edu http://www.swarthmore.edu/NatSci/smaurer1/
franstier@comcast.net http://burbaldiaries.blogspot.com/
leon.maurer@gmail.com https://mywebspace.wisc.edu/lnmaurer/web/
206 Benjamin West Ave
Swarthmore PA
19081-1421
December 31, 2010 (postdated!)
Fran writes: 12/26/2010: It's snowing outside and the kitchen is cleaned up from the
bits of blackened potatoes that latkes leave over everything (Hanukkah ended
weeks ago, but I wanted to make them when L & A were both home), as I sit
down to write. Steve & are
both in our 60's now. When I call
myself middle-aged, Aaron corrects me.
I'm old.
Aaron spent the summer in Minneapolis at a math REU
(Research Experience for Undergraduates) studying cops and robbers on a graph. He had a good time – very much
enjoyed working with his advisor.
Then he spent a week in charge of a cabin of 9 year olds at a YMCA camp
in WI, leaving with poison ivy on one leg and a huge scrape on the other (both
from falling while being chased by his charges).
He's now a senior at Carleton, majoring in math & history. He'd known last year he didn't want be
an academic historian; he doesn't like theory, for example, Michel Foucault and the panopticon (I had to confess, I'd never heard of
either).
He got a concussion when he slipped in practice and a running back kneed
him in the head. He had a
difficult six weeks of headaches & lightheadedness (and worried inquiries
from Steve and me) before the effects cleared. He left the football team, took up running, and has since
lost 20 lbs.
He is applying to grad schools in math.
He lives off campus now, in a rented house with 3 other students and an
art project in back from a former tenant – the Post-Apocalyptic Smog
Machine. (tractor seat, pedals,
strainer, lots of gears, now rusty).
Leon is in the third year of a physics PhD at U Wisc. He spent a lot of the fall coordinating the
department's Holiday
Colloquium; his roles of the Wicked Witch of the West &
the Evil Advisor won him much acclaim (he attributed the acclaim to free beer
& pizza, but a mother knows better).
I can't say much about his research, other than it involves cooling tiny
electronic devices down to -473F and then figuring out why they didn't perform
as expected. Poor dear, he had to
drill me in how to say his specialty (condensed matter, like condensed milk; I
kept calling it compressed matter).
To the extent he has a social life, it revolves around bi-weekly
brunches at the apartments of fellow grad students. He works hard on his culinary contributions: e.g. blintzes (hard to find farmers'
cheese), pretzels, home-made English muffins for Eggs Benedict.
He changed his legal residence to WI, started to rely on the health
insurance he gets through U WI, got checkups with local doctors, bought a car
(a used Hyundai, acquired from a high-energy grad student leaving for
Switzerland [to CERN]) and
learned to drive a manual shift.
Our nestling has left the nest.
He tolerates weekly phone calls home, in spite of my nudging:
Rose had been talking abt the new Hillel at U
Wisc and I found myself saying (to L), you could go Fri night, and then felt
upset to be such a nag, but L laughed and said I was only expressing the
biological imperative: Jewish
grandchildren. He mentioned a NYT
article on a Satmar Chassidic lady (a Holocaust survivor) who recently died with more than 2k
descendents. Can you imagine??
We
talk some about parenting in the abstract:
he brought up a New York Magazine piece on whether children bring happiness to parents. I read the piece -- thought it was
heavily weighted toward parenting babies & toddlers, and also thought that
parenting in the city is harder, then sent him some kid diaries from 1992-1993,
hoping to show him how adorable he & Aaron were.
So far, my
efforts have been in vain. He
wrote:
Perhaps the parenting gods punished me for bringing this up
-- both of my flights had screaming toddlers on them. One sat right in front of
me on the flight to Detroit and spent some time screaming "I can't
talk!" (uhhh????) and then was very concerned that we weren't landing and
would probably never land. Then once we landed, he wanted the plane to take off
again. Good lord. Someone needs to invent a toddler gag.
Work: The company I work for was bought by
MetLife on November 1st.
Work's been busy – first there were experience studies to complete
over the summer & early fall (after a purchase, reserve assumptions get
re-evaluated) [the team in my unit was just great]. Then I (and others) got reassigned to help convert
financial reporting to a Purchase GAAP basis. Lots of working late, some
working weekends & many flaps and tempests-in-teapots: from inconsistent rounding
on mortality tables, to past valuation errors surfacing. Audit and management questions will
surely follow in the months to come.
Much uncertainty about who will stay and who will be found redundant.
Synagogue & Chester's Coop: I continue as
Social Action Chair at the synagogue (click here for a link to our blog), and started as treasurer for Chester's
Coop. Chester, like many
low-income towns, hasn't had a grocery store for years, only fast-food and
corner grocery stores. After many
struggles & delays, the coop got a grant from The Reinvestment Fund's food
access initiative, has leased a more permanent site, and
will open a full-service grocery store early in 2011. I hope it will thrive, but there are obstacles to overcome.
The things we do are so small – gloves for the kids at
one shelter, chicken for dinner a few times a year at a soup kitchen. The jobs that are within reach for so
many pay so little.
Genealogy: Mom and a cousin
put together a family reunion in June, and I assembled a family tree on
Ancestry.com. Census records and
many other government records are on-line & digitally indexed, so it was
easy to find the 1900-1930 census forms for Mom's father's parents (Kate and
Max) and their descendants, along with draft cards, naturalization petitions,
passport applications, and gravesites.
Stories a century old emerged – the death of a little
cousin aged 7, and her mother's suicide a year later. The death of Kate the day
before her grandson's Bar Mitzvah.
(The Bar Mitzvah went on as planned, and the family sat shiva (mourned)
the next day).
The reunion was grand – all kinds of stories –
for example, the chicken livers.
We'd all heard about the chicken livers. When my grandfather & his brothers visited their Mom in
Brooklyn for Seder (60-70 years ago), they first went to the kitchen, where she
cooked them chicken livers (a great delicacy). Great-aunt J thought it was unfair that the sons got the
chicken livers, while the daughters (who'd spent the day helping their Mom
cook) went without.
Leon didn't share my new-found interest. His comment on the reunion: "Old people talking about older
people".
Spain: We spent a week there during Steve's
fall break (Madrid, Segovia, Toledo, Cordoba, Granada) – many, many
lovely paintings, trips on Spain's high-speed trains, great food, and fun for
me to try speaking & reading Spanish.
For pictures & travel-log, see our blog.
Closing: We recently watched To Live, (recommended by a friend from China) about one family's journey
through China's revolution and the decades that follow. She remembers that when Mao died (she
was 6) her parents worried what jacket would she wear to the ceremony honoring
him—could she wear a jacket with little chickens on it? Would people object?
Life here has been so comfortable and peaceful; we've been
so fortunate. Wishing you peace
& health in the New Year.
Steve writes: I start with
some odds and ends, and then get down serious business, like work and the
future. For various items in my
part, there are photos on the website where you found this letter.
Snow. Philly got 70 inches of
snow last winter, the all-time high. By mid February we had snow up to our
kitchen window. We had to shovel
not only sidewalks and driveways, but also flat roofs. The College Provost has one too, and
interspersed with weightier matters (figuratively), I commiserated with her
over that. Her husband was on sabbatical in England. Anyway, in mid February a
block of ice slipped off the top of the water tower next to the Science Center
parking lot and crushed several cars.
I was lucky; my hood got bashed in but the car was driveable. My insurance and the College paid for
the repair.
Deer. They've become quite a problem in
Swarthmore. After years of tussle
with activists, the College got permission last winter to cull the heard that
was decimating the Crum Woods. But
it seems the remaining deer just came up the hill to the town. I haven't been
able to grow fall crops in my garden across town for several years; the deer
eat the greens to the ground. But
this year they started eating in May.
Fortunately they don't like any part of okra. But they love tomato and pepper leaves and stems. They eat
off the tops of those plants; what's below their browsing level will grow good
fruits but total production is limited. Various anti-deer measures were only
partly successful. They roam all
over town too. I've seen them in our yard and they ate Fran's flowers. One day we were talking to our neighbor
Helen Speck in her front yard, and some deer walked out of her back yard and
stood a few feet from her. She
stared them in the eye and said, "Get out of Dodge!" They moseyed across the street to the
Kemlers.
Birds. Last spring some
robins made their nest in a hanging flowerpot outside our dining room window.
The nestlings really do stretch their necks for the mommy's worm – see
the pictures. One of the three stopped stretching its neck quite so far, and
then it didn't get fed. What sort of mommy is that? Eventually it stopped
raising its head very far and soon it was dead. The others just nested on top of it. Survival of the
fittest.
Work. The last 12 months have
been really hectic as dept chair.
Last spring my long effort to keep our fine Latino colleague failed, and
so we suddenly had to do a full national search late in the job season for a
2-yr visiting position. Then this
academic year started busy from the get go. We have 3 promotion and
reappointment cases, and the chair has to get all the documents and letters for
the dossiers. Then a sudden bruhaha arose over changes in the health benefits
plan, and I was in the middle, having been the creator of the 5-year
"morph" spreadsheet on the Benefits Committee the previous
spring. Also, our dept knew we
would have two new temporary hires this year to cover people on leave. But just in the week between Christmas
and New Years that grew to 4, and I was busy immediately posting announcements
and organizing the expanded search.
Fortunately I was only
teaching 1 course this fall. As
chair of a large department I teach 3 courses a year, and usually fall is
busier for the chair. In the past two years I agreed to do my 2-course semester
in the fall to help out with some problem, but it damn near killed me.
Unfortunately this year spring will be busier for the chair, as the current
hiring work will only get heavier.
The result is that I am worn
out. When I started as chair, and
for a long time, I really enjoyed it (too much, probably). But now I've had enough. Fortunately
only 6 months to go, if I don't die first.
I have a pretty good legacy
as chair, including expanding the offerings and improving our already good
reputation with students and administration. But I don't draw much satisfaction
from it at the moment.
Starting this summer I go on
leave, probably for a full year (more on that below). I can't tell you how much I am looking forward to it. Looks
like I will return to ECLA in Berlin, this time for their winter term. I have also been invited to spend 2
weeks in the fall at the American University of Central Asia, in Bishkek,
Kyrgyzstan. Also, Fran and I will
take a more leisurely fall trip, to the Cotswolds. But mostly I hope to unwind
some, catch up on some mathematical reading and some writing – and make
some decisions about retirement. I
may teach here just one year after the leave. Or, as has become fairly common,
I may teach part-time for several years.
Then what? Maybe it's time for something completely new.
There have been several good things this
year. I'll write about 3 of them:
MathPath, one of my courses, and our trip to Spain.
MathPath was a big success.
We had our largest enrollment ever, the kids had as much fun as ever, and the
quality of the program was as strong as ever. We were at a new location, Macalester College in St
Paul. From the administrative side
it was the best location ever: many strong mathematician expositors to call on
from the Twin Cities, a very flexible and helpful summer conference director,
and an excellent price. With the high enrollment and low cost we are finally
almost out of debt. The returning students (we get quite a few) preferred the
previous location at Colorado College – hard to beat a location flush
against the Front Range, and the food and campus layout were a bit better
there. We are returning to CC for
2011, but I am still trying to arrange an eastern location for 2012.
I continue to teach the
Honors Linear Algebra First-Year Seminar each fall. We meet over 5 hours/wk in
a wonderful seminar room with floor to ceiling blackboard on 3 sides, so that
everyone can turn around from the table and start expressing their thoughts on
the wall. I do little direct lecturing;
the students learn through discussing the problems. Some of the strongest math
students in the first-year class take this seminar, and this year's was a
particularly strong and friendly group. I'm so pleased with how they learn to
express themselves well about mathematics at the board, and their evident
pleasure with the material and with being together. Word about this seminar is
definitely out there; this year for the first time I had 19 students sign up
for the 12 spaces and had to lottery. In the past the double time commitment
had limited the signups.
Spain. Fran made a good observation about a
year ago. I was never going to find time for another vacation while chair
unless we committed to it long in advance. So I committed last spring to a trip
to Spain during Swarthmore's fall break, a week in early October. Had she let
me wait to book, it never would have happened, because I was terribly behind
when the trip started and even farther behind when we got back.
Anyway, Fran has written a
detailed chronological account of the trip on her blog, with many nice
photos. Here I'll merely add some
personal observations.
My favorite things were the
art museums in Madrid and mastering public transportation, followed by history,
architecture and scenery. I derive little pleasure from nice hotels and only
some from local food; indeed, the cost of these things is a big negative for
me, and I found the Spanish meal schedule an annoyance. But it is an agreed to price I pay to
do some things the way I want, notably part of where we go and what
transportation we use.
Madrid has 3 major art
museums within a few blocks of each other, of which the Prado was the least
interesting per painting. Even the
Bosches and Breughels at the Prado were a bit disappointing, though I had been
waiting a lifetime to see them – just one small room compared to huge
room after room of Velasquez.
Trains. Spain has the fastest and most rapidly
expanding network of high speed trains in Europe, and it was a delight to ride
them. If the Ascela went as fast,
Philly to NYC would be 40 minutes, not 75. I've written an article on those trains for the coming June
travel newsletter of the Delaware Valley Assoc of Rail Passengers. You can read a draft and see some
photos from the webpage of this letter.
I wanted to see the Alhambra
for all the very mathematical frieze artwork, but as Fran describes, we
couldn't get in. Fortunately, there is similar Moorish artwork in the old parts
of other southern cities. In
Cordoba, there is beautiful artwork even in building vestibules and yes, even
in the bathrooms of ordinary restaurants.
Spain today takes the
attitude, isn't it wonderful we had this mix of cultures, Christian, Jewish,
Muslim. While this is great for tourism today, and probably honestly felt, it's
not what they felt at the time, nor are they very honest with themselves about
it. It was interesting to hear a cab driver talk about the Spanish explorers
and the Latin American Indians (as translated for me by Fran). It seems Spain helped them out by
bringing law and order long before England brought this to North America. On the contrary, intolerance and
brutality have a long history in Spain and it colonies, right up through the
Spanish Civil War.
When I was at ECLA, the
president was a Spanish professor from Washington and Lee. I mentioned to him how taken I was that
Germany was very frank and honest about its past; I recounted in my 2007 annual
how, walking around, time and again I came across a plaque in German saying,
basically, right here we did such and such horrible thing. Yes, said the president, this is quite
different from the Spanish, who have yet to accept their past.
The Spanish are mostly fair
skinned and many of the women are blondes! This didn't fit my conception of Hispanics at all, but the
Hispanics I know are from the Americas.
When I walked out of the Prado late one afternoon, the sidewalk was
jammed with people watching something noisy in the boulevard, and I immediately
noticed that the crowd was swarthy as I had earlier expected. What were they watching? Well, it was Monday of the 4-day Oct 12 weekend. Oct 12 is
Columbus Day in the US (the day he arrived in the New World) and it's the same
holiday in Spain, except it's called Hispanic Day. Turns out all the former
colonies were invited to send contingents to the celebration. Sure enough,
singers and dancers in native dress from one former colony after another
marched up the street. But
finally, after every country went by, a big double decker bus with a rock band
on top started booming its way slowly up the street. Now the cheering really
started.
The American economy. It
won't affect my Swarthmore job, except that salaries were frozen last year for
one year. But Fran has a day of reckoning coming by March. If the best workers
are kept, she won't have a problem, but it doesn't always work that way. And
what if she is released? I think it could be a blessing in disguise. I think
she would be much happier devoting more time to her social action volunteer
work and otherwise reading and sleeping more. But she likes spending money, and her family tends to live a
very long time. One thing for
sure: if she is let go and (as likely) doesn't find another actuarial job, then
I should work more – take just a semester leave next year (thus get full
pay) and stay teaching a few more years.
I've been thinking MathPath
would be a nice retirement project for me. To do what I do for it right would
really be a halftime job all year – things like increased applications do
not happen without effort – and in retirement that would fit nicely; it
doesn't fit nicely now. Of course,
it doesn't pay very much either, so again, the issue is whether I can afford to
retire. Here I am assuming
MathPath will continue; despite its progress, that's not certain either.
Our sons. Our financial
problems are minor compared to those of our sons, starting out in a bad
economy. Leon I am not so worried
about. Lasting academic physics jobs are hard to come by these days, and one tends
to get them only after a long string of postdocs. But there are a fair number of industry jobs, and Leon has a
good set of ancillary skills – mathematics skills, computer skills, he
has even studied economics. He
thinks he can get an industry job and I think he's right. Anyway, he is set in
grad school with a Research Assistantship for at least 2 more years.
Aaron is applying to math
grad school. Duh, it's in the
genes you say, but it's not what I expected. Whereas both my sons were always pretty good at math, and we
certainly had some math discussions around the dinner table when they were
younger, I didn't push it and both their real interests seemed elsewhere. But both ended up as double majors
where one major was math. When Aaron got to Carleton's introduction to proof
course, I thought he'd like it less, but in fact he liked it more – a
good sign, and I was touched. Then
he really liked his REU at U Minnesota this summer, and his advisor (a
Macalester prof whom I had independently hired to teach a week at MathPath)
told me he was really good – which pleased me even more. So applying to grad school became a
plausible option.
Still, his approach to
applying is far from mine. He started late, missed some deadlines, sort of
picked remaining places geographically, and has not added a few more schools
when his Graduate Record Exam subject test score was lower than we hoped. He has spent a fare amount of time on
his personal essay, even though in my experience most math admissions
committees don't pay a lot of attention to it. Applying to grad school is not
like applying to college. His
attitude: he can't change what courses he has taken or his grades; the personal
statement is the one thing he still controls. And if he doesn't get in anywhere, he'll figure out something
to do for a year and maybe apply again. Que sera sera.
If he does go to grad school
in math, he will finish in 5-6 years, and who knows, the economy may be a lot
better.
Anyway, we are waiting for other
shoes to drop. By May we will know a lot more for all of us. We hope for the
best, for us and for you.
Leon writes. It has been a fairly
uneventful year; I didn't take any interesting trips, and I spent most of my
time on the research projects I wrote about last year. In fact, the only
upcoming big change I see isn't something new, but the end of something old.
I'm now in my third year of grad school (out of an average of 5.5 years -- I
don't expect to be "below" average, so I'll be here for a while), and
the big change is that this winter/spring will be the first time in about 20
years that I won't be taking classes.
It's
about time too -- I've gotten thoroughly sick of homework, exams, and the like.
Still, I'd gotten so used to them that it was hard to stop; there are
always classes that look
interesting, and that's often enough to make me take them. I'm not alone with
this problem, and this lead to a solution: I made a "death pact" with
another student in my class whereby I'd be required to kill him if he took any
classes next term, and vice versa. It seems to have worked. It's kind of
exciting, not simply because I'm done with classes (a symptom), but because of
the root cause: I've basically taken all the offered classes relevant to my
research. This puts me in the "reading research papers" stage of grad
school (see the_illustrated_guide_to_a_phd).
By that metric, this is an important step.
The
research project I've spent (and continue to spend) the most time on is the
final one I described in last year's letter. It's a collaboration between my
advisor and another physics professor that combines our equipment and
experience with RF electronics (RF = radio frequency, electronic signals in a
certain frequency range that includes the radio stations we're used to) with
his approach to quantum computing (different than ours). Simply put, it's an
improved way to measure his devices – quantum computing can do some
surprising things, but it's no use if you can't somehow read out the state of
the basic elements of a quantum computer (the qubits).
I
was just starting this project last fall; it didn't really get rolling until
summer; and we were expecting to complete it quickly. At least in theory, it's
only a small change to the measurement method they already used – it
would let us "see" things that happened too quickly for the other
method to detect (like the movement of individual electrons through their
device). Moreover, this method had already been done elsewhere for very similar
qubits; the main difference is the material they were made from. That's why we
expected everything to work in short order.
However,
even though we've tried about a dozen times, it still hasn't worked. Initially,
this was due to equipment failures – broken cables and the likes, but
recently we've had a number of measurements fail with equipment that has passed
all our diagnostic tests. On these measurements, we've seen a signal like the
one we expect but orders of magnitude smaller.
The
RF properties of our materials are virtually unknown (e.g. the resistance of a
material can depend on the frequency of the electrical signal put through it).
The groups who've used this measurement technique used a material which has
been studied at radio frequencies and behaves almost exactly as expected. Not
all materials do; a few materials have properties leading to results like ours.
I'm
becoming convinced that our recent failures aren't due to equipment problems
but due to some unusual material properties. My advisors aren't convinced yet;
we'll soon be running another test that could decide.
I'm
not sure what will come of all this. Maybe this test will work showing that we
were doing something wrong earlier. Maybe this test will also fail and we'll
decide it's worthwhile to investigate the strange RF properties of this
material (which could be interesting; it hasn't been done before). Maybe if it
fails we'll just decide that it's too much trouble. In any case, I'm hedging my
bets by getting more involved in an ongoing project that I mentioned in last
year's letter (SQUIDs optimized to be electrical amplifiers).
Classes
and research took up most of my time; since the summer, most of the remainder
was taken up with preparation for the Holiday Colloquium. It's a humorous show
put on by the third years -- one of the department's traditions (supposedly
dating to before WWII, known to date at least to the 70s). A good bit of the
humor is physics or department related, but you might still like it. The videos
are available here.
The first movie in the playlist is the whole show (live and prerecorded, along
with audience reactions). After that are individual prerecorded skits.
The
show went well, but it left little time to do other things. The only
extracurricular I've made progress on is cooking. A group of students in my
year meets for brunch every other week; that has provided a good excuse to
learn a number of dishes, from pie to blintzes and soft pretzels (made the
traditional way, with caustic lye – I figure that I used dangerous
chemicals frequently at work, so why not at home too?)
I've
also been working on non-brunch fare, in part because I've watched nearly 12
seasons of "Good Eats" over the past year. It's a show with a
somewhat scientific basis to cooking which works for me (e.g. how does a roux
work? What are its advantages/disadvantages over adding some form of starch
directly?) Many cooking shows just give recipes with a few tips and frequent
comments on how good things smell and taste. That's all well and good, but if
you don't know the mechanisms behind the food, then it's harder to successfully
modify recipes or come up with your own.
Since
I'm done classes and the holiday colloquium, I should have a good chunk of free
time next term – a good thing considering the backlog of things I've been
meaning to do (I can't remember the last time I read a book for fun). I'm
looking forward to a productive new year. I wish you the same.
Aaron writes. 2010 began for me with winter term (we are on a
trimester as opposed to a semester schedule) of my junior year at Carleton College
in Northfield Minnesota, where I am double majoring in mathematics and history.
It has been my observation that, at least at Carleton, Junior year tends to be
the most academically stressful, as it tends to be when students take their
most difficult classes for their major. By comparison, senior year, students
tend to take easier classes since they dedicate most of their effort to their
senior thesis or project and figuring out what they are doing after graduation
(I'll get to these latter).
Anyway,
my junior year very much fit this pattern, and far and away my most difficult
term during it was winter. I was taking three courses (which is a normal load
at Carleton). The first class was a history methods seminar, one of the core
courses of the major, designed principally to both give a survey of prominent
history theory and to give students a real understanding of what exactly
academic history. My second course was abstract algebra one, which while not
strictly speaking required for a math major at Carleton, is one of the
fundamental courses required to go to graduate school in mathematics. My last
class was a survey course of imperial Chinese history, which I got stuck with
as part of my history major. All in all it constituted a fairly miserable academic
load culminating with having to write three quite large papers in the five days
of reading period and finals. However, I was hardly alone in this regard; the
memory that will stick with me from this term is of me and fifteen or so other
friends of mine who were also juniors all working through the night in the math
building on the last day to get everything done. At the end of it all, the work
was finished, but I did somewhat less well than I had hoped.
Thankfully
winter is followed by spring, which, as anyone who has lived in the upper
Midwest knows, is always desperately needed. My junior spring term turned out
to be one of my best at Carleton. In terms of weather it was hands down the
nicest I've seen in Minnesota; it didn't even snow once in April. Spring term
at Carleton is always fun due to the student body rising up from hibernation
and several annual spring traditions at Carleton such as spring concert.
However, between the great weather and my twenty-first birthday in late April,
this one was especially fun. In addition, though my classes weren't necessarily
easier, I did enjoy them much more. My first class was a research seminar in
history, for which I spent most of my time researching early twentieth century
US naval reform. My second class was a mathematics class on set theory, which
was my favorite class of the term, mostly due to it being taught by my favorite
math professor. The third class I took was another math class on calculus with
complex variables (imaginary numbers), which I expected to be somewhat more
interesting than it turned out to be. I was quite pleased with how I did in the
end.
Over
the summer I participated in a research experience for undergraduates at the
Institute for Mathematics and its Applications, which is located on the
University of Minnesota campus in the Twin Cities. There were nine other
undergraduates in the program, though I primarily worked with the two others
who were in my research group. We studied games of cops and robbers on graphs
with a professor from Macalester and a graduate student from the University of
Minnesota. In mathematics, a graph if a collection of points, called vertices,
and lines connecting them, called edges. A game of cops and robbers on such a
graph is a game where a certain number of cops and a robber are placed on
vertices in a graph, and they alternate taking turns moving between vertices
that are connected by an edge. The cops win if one of them ever gets on the
same vertex as the robber. We attempted to figure out whether a given number of
cops could always win on a given graph. I really enjoyed the program; our
research was really interesting, I think we got some good results, I really
liked the professor we worked with, and it was a lot of fun being up in the
Twin Cities. After the program finished up, I still had some time before the
football season, so I spent some time working at a YMCA summer camp, some time
working in the Carleton math department (since I was staying in Northfield),
but mostly lounged around the house three friends and I are living in for the
school year.
At many
large schools, students only really expect to live on campus for maybe a year
or two, but at Carleton it's actually quite hard to get out of the dorms. The
only way to move off campus is to be a senior, and to draw into what is known
as 'Northfield Option,' which is only granted to one hundred students. I was
lucky enough to get quite a good room draw number, so I was able to get this
for my friends and me. The house we are renting, at the expense of being seven
blocks from campus, is quite nice and extremely cheap. It has been a bit of an
adjustment to keeping up a household, but we've been paying the bills, stocking
the fridge, cooking house meals, and haven't burned the place down after living
in it since July, so I think we are doing alright. In any event, I'm saving a
tremendous amount of money not paying for a dorm room and cafeteria food, eat
far better, and have my own master bedroom, so I have no complaints.
After
these last couple weeks of summer, football camp got started. This was to be my
last season playing, since it was my senior year. At the start, it looked like
I was finally going to start at nose guard (this is the player on the defensive
line right across from the center and the football at the start of the play).
Unfortunately this was not to be, as I got my second diagnosed concussion when
a running back kneed me in the head (I am fairly certain in retrospect I, as
most other football players, have had a few go undiagnosed). At the time it
didn't seem like it was such a bad concussion, since I didn't lose
consciousness, so I figured I would be able to return to playing in a few days.
However I continued to have symptoms for the next month and a half. These
included headaches, wooziness, getting light headed and dizzy when I worked out
or thought too hard, as well as, I found out latter, occasionally in
conversation having what I thought were coherent statements coming out garbled
and nonsensical. Though my symptoms stuck around for a longer period than with
most concussions, neither the symptoms nor their persistence were that abnormal
with a concussion. Ultimately the only thing to do was not hit my head anymore,
rest, and wait till they went away. My doctor said that once this happened I
could continue playing if I wanted. However, the more concussions one gets, the
easier it is to get more and the worse they are, so it seemed doubtful that
even if I got healthy and kept playing I wouldn't get another. Accordingly,
since my head's health is more important than football anyway, I decided it was
time to stop playing.
Though
my symptoms ultimately cleared up a little before half way into my fall term,
they helped contribute to what was probably my roughest term at Carleton. To
start with, it was extremely difficult to get much done for the first part of
the term with my concussion, which was problematic between studying for the
GREs in November, writing the proposal for my senior thesis in history, and
classes. On top of this, I, as well as what seemed liked most of my class, was
fairly stressed out about the our college years drawing to a close and what we
were going to do afterwards. As well, I didn't have an easy time to adjusting
to college without a sport and not being a part of the football team. Ultimately though, I managed to come
out fall term alright. Despite a rough start, I did quite well in my two
classes, intro to computer science and chaotic dynamics. I managed to figure
out what I was doing my thesis on in history, mainly siege warfare in the tenth
to twelfth century Byzantine world (When someone tells you that the "Roman
Empire" fell in 476AD, what they mean to say is that the western half of
the Roman Empire fell then. The eastern half of the Roman Empire, which has
since been labeled the Byzantine Empire, continued as a substantial power until
1453AD). By the time I took the GRE, my head was alright, but I still didn't do
as well as I had hoped, though not terribly either.
After
the term, I drove home for what is Carleton's unusually long winter break,
lasting from Thanksgiving to New Years. Besides the usual rounds of seeing
relatives and gorging oneself that goes along with this time of year, writing
applications, and working on my history thesis, one other event bears
mentioning. I got a call in early December from Mike Bruno, the father of my
friend Izzy, asking if I had a passport and if so, whether I cared to go to
Hong Kong. Mike is in the planetarium business, and he is friends with some
people who work for a different company also in the planetarium business called
Sky Skan. Sky Skan was in turn, due to delays, only a few days away from the
date by which they had promised to deliver a planetarium show to a company in
Hong Kong called PCCW. To this end, if they shipped the show on a hard drive
and it got damaged or held up in customs it would be too late. Since the show
was a digital file, I'm not sure why, besides its large size, they didn't send
it over the Internet, but for whatever reason they decided they needed to send
it to Hong Kong with a person. Looking for someone with free time to do so,
they talked to Mike, who talked to Izzy, who suggested that they send me since
she was out of town and I was on break. Accordingly, after getting called by
Mike on a Wednesday night, I talked to Sky Skan throughout the day on Thursday,
and on Friday I was on a plane to Hong Kong with their show on a hard drive in
my backpack. They paid for the flight, a nice hotel for four nights, and gave
me an extremely healthy stipend for expenses.
Thus, I
arrived in Hong Kong, was driven to my hotel, handed over the hard drive, and
had a few days to spend in the city as I saw fit. PCCW bought me a rail pass,
so I spent my three full days going all around the archipelago of Hong Kong. I
visited the usual tourist spots, namely Victoria's Peak, the highest point in
Hong Kong, and the Po Lin monastery, home to one of the seven or eight giant
Buddha statues in China. PCCW runs the Hong Kong History Museum, Space Museum,
and Science Museum, so I got to go into those for free. Besides that, I spent a
great deal of time walking around taking in the sites and sounds, haggling with
street vendors for fun, and eating some pretty delicious food. All in all,
quite a good trip, especially since it was entirely paid for by someone else.
That
brings me up to the present. Where 2011 will take me after graduation is a
pretty big mystery; I don't have any concrete plans for next year, and I'm
still not entirely sure what I want to do. My primary inclination is to attend
graduate school in mathematics, since I really enjoy math research, and at the
very least one doesn't lose money going to graduate school in math (tuition and
a stipend are paid in return for teaching). I'm in the process of sending in my
application to various schools, but where or if I will get in remains unclear.
However, I've been looking at some jobs as well, such as at Google, and once
I'm done with graduate school applications, I plan to start applying to them.
Hopefully in late April, the deadline for accepting or declining admission at
graduate schools, I'll have some options. If any of you folks out there have
any suggestions for what a Math/History double major might do with themselves,
or know a business that is interested in hiring slightly bewildered liberal
arts students, I would love to hear from you. In any event, I hope you all have
a happy 2011.