Welcome to the
Homepage of Dr. Martin Montgomery.
Current Students: Follow the
links to the right to access more information
regarding your class. There is also a link to
my Fall 2014 Schedule which you can use if you want
to schedule an appointment.
To the right is a picture of me at The Bean (I
guess its real name is Cloud Gate) in Chicago.
Brief Bio
In case you are curious about me, I grew up in
South-Central-ish California, which probably
explains my liberal use of the word "dude". I
went to college at Humboldt State
University in Northern California where I took
classes for about five majors before I settled on
math. I never really felt "good" at math, but
it's such a weird combination of difficult and
doable that I fell in love with it. A great
mathematician once said you never really understand
math and I think "math discomfort" is a universal
trait that makes us human. I like to treat
math like a really hard game (even harder than one
of my favorites)
that rewards persistence and focus.
I went to graduate school at the University of Oregon
(GO DUCKS!) where I really didn't feel like I was
good at math! I got my doctorate in the field
of algebra (if you are currious, my research
interests are listed below). After graduate
school I got a job in Georgia, then left to go to
Kentucky, then moved to Texas, returned to Kentucky
again after two years, then finally made my way to
Maine.
When I'm not doing math I like to hang out with my
family and friends, watch t.v., play video games,
read books, and enjoy beer. I also enjoy
exercise, mostly lifting weights and running.
If you ever see me exercising around campus feel
free to say or wave hello. I'm usually
listening to some history podcast (my favorites are
here,
here,
and here)
but I don't mind being interrupted! In case
you also like podcasts, I would also recommend the
ones here,
here,
here,
and here.
Research
interests: Noncommutative, associative
rings and algebras. In my dissertation I
calculated a certain dimension associated to rings
and algebras. I continue to be interested in
uses of this calculation, tinkering with something
called The Cartan Determinant Conjecture from time
to time, but lately my research interests have moved
on to Leavitt Path Algebras. These are
structures with interesting algebraic properties and
useful connections to other mathematical fields.
ยท Curriculum Vitae (PDF)
Publications
1. Square-Free Rings and their Automorphism
Groups, Communications
in Algebra 38 (10) (2010) 3767-3789.
2. Non-Stable K-Theory For Leavitt Path Algebras,
(with Damon Hay, Marissa Loving, Efren Ruiz, and
Katherine Todd), to appear in the Rocky Mountain
Journal of Mathematics.
3. Square-Free Rings with Local Units, prepint.