My contact info:
Patrick X. Rault
Department of Mathematics
326C South Hall
State University of New York
Geneseo, NY 14454
I have been teaching at SUNY Geneseo since Fall 2008, when I completed my Ph.D. at UW Madison. My areas of research are number theory (specifically, arithmetic geometry) and linear algebra (specifically the study of numerical ranges in matrix analysis). My thesis advisor was Jordan Ellenberg.
For more information about my background, you can see my CV.
Sabbatical, research on numerical ranges, Fall 2015.
Research on open questions related primarily to my previous papers. See CV above for papers, workshops, and conferences.
Writing course textbooks for Introduction to Mathematical Proof (under review), Theory of Numbers, and Abstract Algebra.
Upstate New York Inquiry-Based Learning Consortium. $100,000 grant for 2014-17.
Council for Undergraduate Research. Elected nationally for a 2014-17 term on the governing council.
Center for Undergraduate Research in Mathematics $22,000 grant received for a 2014-15 project with undergraduates. Resulted in four honors theses, many conference talks, and two Mathfest speaking awards by students.
Click here to see a list of conferences that I have attended or plan to attend in the near future.
Generally, I try to make it to several number theory conferences listed here Number Theory Conferences, New and Old or here
Arithmetic Geometry conferences.
To see a list of some talks that I have given, see my CV above.
Priority sorting program for IBL courses, created by Fall 2011 Teaching Assistant Brian Knapp.
Academy for Inquiry Based Learning
Journal of Inquiry Based Learning in Mathematics
Milne Library Math Resources
LaTeX homework template
LaTeX starter file, with many examples which you can edit and see the effect of.
Mathematics software downloads
Mathematics technology instructional guides
Undergraduate Semesters in Mathematics
SUNY Geneseo Math Department's Ph.D. preparation suggestions and a timeline. (SUNY Geneseo username and password required for login)
For those who ask "When will I use math?"
AMS Careers and Employment page
MAA student page
Career Options for Undergraduate Mathematics Majors: 2011 Pannel
SUNY Geneseo Teaching:
Online Course Files in Dropbox for 2012-current (see your syllabus for the link)
Problem Solving Seminar (Math 388), Spring 2013
Online Course Files Outbox for Fall 2010 to 2011
Inquiry-Based Learning course description for Abstract Algebra (Math 330 & 388), Spring 2012
Inquiry-Based Learning course description for Introduction to Mathematical Proof (Math 239), Spring 2012
Enriched Multivariable Calculus (Math 288, future Math 226, aka Honors Math II), Spring 2012
Inquiry-Based Course Description for Theory of Numbers, for Spring 2011
Calculus 1, Math 221, Spring 2010
Introduction to Mathematical Proof, Math 239, Spring 2010
Algebraic Number Theory, Math 380, Spring 2010
Calculus 1, Math 221, Fall 2009
Introduction to Mathematical Proof, Math 239, Fall 2009
Linear Algebra, Math 333, Fall 2009
Putnam Problem Solving, Math 399, Fall 2009
Elementary Linear Algebra, Math 233, Spring 2009
Theory of Numbers, Math 319, Spring 2009
Elementary Linear Algebra, Math 233, Fall 2008
Introduction to Mathematical Proof, Math 239, Fall 2008
Math 113, Trigonometry
Math 320, Linear Algebra and Differential Equations
Wisconsin Emerging Scholars Program (Fall 2005 through Fall 2006)
Delta Teaching-as-Research Program
BLOGs I should be reading:
PHD + epsilon
AMS Graduate Student Blog
Young Mathematicians' Network: an online community for young mathematicians
SUNY Geneseo Math Dept
What I like to do in my spare time
Mathematics, Puzzles, Magic, and Games