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David Fithian
University of Pennsylvania
Mathematics Department
David Rittenhouse Labs
Philadelphia, PA 19104-6395
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e-mail:
office:
..phone:
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fithian at math.upenn.edu
DRL 4C13
(215) 898-5975
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Who? What?
I am a fifth year graduate student here at UPenn, chasing
down a PhD in math. My interests orbit around number theoretical aspects of hyperbolic space
and its quotients, and I'm forming a relationship with PSL2(R) and its discrete subgroups.
Of particular, current interest are properties of cusp sets of Fuchsian groups uniformizing
once-punctured tori and hyperbolic-geometric interpretations and generalizations of
continued fractions and Dedekind sums. I also have some interest in low-dimensional topology, and would like to
see some connections between knot theory and (algebraic?) number theory.
- dissertation summary
- AMS cover sheet
- curriculum vita
- research statement
- teaching statement
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Papers
Congruence obstructions to pseudomodularity of Fricke groups
- arXiv:0707.4261 [math.NT], under
revision for C. R. Math. Acad. Sci. Paris
On determining a triangle with two directed X-rays
[PDF, 547kB] - thesis in geometric tomography
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Teaching
- Spring 2006 - Math 241 (with Dr. van Erp)
- Fall 2005 - Math 361 (with Prof. Gerstenhaber), Math 371 (with Prof. Gibney)
- Spring 2005 - Math 114 (with Dr. Stovall)
- Fall 2004 - Math 114 (with Prof. Haglund)
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Links
The Generics
- Math Advising - math help, Maple help, Sunday reviews, online help!
- Math at Penn
- Oregon State University - at which I did my undergrad work
- Math/Physics/Astronomy Library at Penn
Reference
- Mathworld
- Planetmath
- Wikipedia (math section)
Other
- Previous Oral Exams - now with sweet, sweet syllabi
- aleax.net - my barren personal site... or token domain, if you like
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