Paul Pollack

Curriculum Vitae


6188 Kemeny Hall
Department of Mathematics
Dartmouth College
Hanover, NH 03755
fax number: 603-646-1312 (attn: Paul Pollack)
e-mail addy: paul dot pollack at dartmouth dot edu
URL: http://www.math.dartmouth.edu/~ppollack/

Education

University of Georgia: BS in Mathematics, 2003
Princeton University: Fall 2003-Winter 2005
Dartmouth College:


Publications

On a conjecture of Beard, O'Connell and West concerning perfect polynomials (joint with L. Gallardo and O. Rahavandrainy) Finite Fields and their Applications 14 (2008), no. 1, 242-249
Simultaneous prime specializations of polynomials over finite fieldsProceedings of the LMS (to appear, 2008); already published electronically
An explicit approach to Hypothesis H for polynomials over finite fields To appear in: The anatomy of integers. Proceedings of a conference on the anatomy of integers, Montreal, March 13th-17th, 2006 eds: J.M. de Koninck, A. Granville and F. Luca
A polynomial analogue of the twin prime conjecture Proceedings of the AMS (to appear, 2008); already published electronically
Arithmetic properties of polynomial specializations over finite fields Submitted

Presentations

Dartmouth College number theory seminar
`Rational (!) cubic and biquadratic reciprocity'
April 19, 2005
Anatomy of Integers workshop (Montreal)
`Some special cases of an Fq[u]-variant of Hypothesis H'
March 15, 2006
Quebec/Maine number theory conference
`Irreducible compositions of polynomials over finite fields'
October 1, 2006
AMS/MAA Joint Meetings: special session on the arithmetic of function fields
`Simultaneous prime values of polynomials in positive characteristic'
January 7, 2007
AMS Eastern sectional meeting (Hoboken, NJ): special session on number theory
`Prime polynomial patterns'
April 15, 2007
Quebec-Vermont number theory seminar
`Prime polynomial patterns'
April 26, 2007
Ross Summer Mathematics Program (Ohio State) 50th anniversary reunion conference
`Primes, polynomials, and patterns.' One of twelve invited speakers.
July 22, 2007
Maine/Quebec number theory conference
`Arithmetic properties of polynomial specializations over finite fields'
September 30, 2007
INTEGERS conference (University of West Georgia)
`Arithmetic properties of polynomial specializations over finite fields'
October 25, 2007
Five college number theory seminar
`The distribution of irreducible polynomials over finite fields'
November 13, 2007 (scheduled)
UIUC number theory seminar
`The distribution of irreducible polynomials over finite fields'
November 29, 2007
Dartmouth College mathematics colloquium
`Prime polynomials'
January 31, 2008
Canadian Number Theory Association (CNTA) X Meeting
TBA
July, 2008

Teaching experience

Instructor, Dartmouth College
Teaching seminar, Dartmouth College (Summer 2006)
Intensive summer-long training course taken by Dartmouth's post-qualifying exam graduate students. Includes reading and discussion of material on the philosophy and science of learning and teaching. Participants also design and execute two week-long mathematics workshops for high school students to gain hands-on teaching experience.

Counselor, Ross Summer Mathematics Program (Summers 2000, 2001, 2003)
Lived in the dorms for eight-weeks alongside the high-schooler participants. Graded problem sets and answered student questions. Taught a course to other counselors on elementary/analytic number theory in 2003. Head counselor (joint with Jesse Kass) in 2003.

References

Carl Pomerance
Department of Mathematics
Dartmouth College
Hanover, NH 03755
carl dot pomerance at dartmouth dot edu
Thomas Shemanske
Department of Mathematics
Dartmouth College
Hanover, NH 03755
trs at gauss dot dartmouth dot edu
Peter Winkler
Department of Mathematics
Dartmouth College
Hanover, NH 03755
peter dot winkler at dartmouth dot edu
Andrew Granville
Department of Mathematics and Statistics
University of Montreal
Montreal QC H3C 3J7, Canada
andrew at dms dot umontreal dot ca
Michael Rosen
Department of Mathematics
Brown University
Providence, RI 02912
mrosen at math dot brown dot edu