Evan Dummit's Lectures Page


Main. Teaching. Course Notes. Lectures.

This page contains copies of lecture notes for talks I have given.

Obligatory copyright notice:
All material is copyright me, Evan Dummit.
No individual or group has permission to repost, modify, or distribute these files without my express consent.

Notes for graduate/conference-level talks.
Several of these talks were given with slight modifications in other locations, so not every conference talk or invited lecture I have given is listed here.
  1. REU Summary, Jul 2009: A Conjecture of Evans on Sums of Kloosterman Sums (20mins).
  2. UW-Madison NTS, Oct 2009: Congruence Zeta Functions.
  3. UW-Madison NTS, Jan 2010: Prep: Zeroes of Zeta Functions in Hyperelliptic Families over Finite Fields. (60mins)
  4. UW-Madison NTS, Dec 2010: Prep: p-adic Hecke Operators (30mins).
  5. UW-Madison NTS, Feb 2011: An Introduction to Stark's Conjecture (60mins).
  6. UW-Madison NTS, Oct 2011: Prep: A Crash Course in Central Simple Algebras (60mins).
  7. UW-Madison NTS, Jan 2012: Kakeya Sets over Non-Archimedean Local Rings (60mins).
  8. Quebec-Maine NTC, Oct 2012: Kakeya Sets over Non-Archimedean Local Rings (20mins).
  9. Midwest NTGC, Oct 2012: Kakeya Sets over Non-Archimedean Local Rings (20mins).
  10. UW-Madison NTS, Oct 2012: A Whirlwind Tour of Elliptic Curves (60mins).
  11. UW-Madison NTS, Nov 2012 An Introduction to Modular Symbols (60mins).
  12. UW-Madison NTS, Apr 2013: Prep: Hyperelliptic Curves and the 2-Selmer Group (60mins).
  13. UW-Madison NTS, Sep 2013: Prep: Artin L-functions and Arithmetic Equivalence (60mins).
  14. Joint Math Meetings, Jan 2014: Counting Number Fields (10mins).
  15. PhD Thesis Defense, Aug 2014: Counting Number Field Extensions of Given Degree, Bounded Discriminant, and Specified Galois Closure (50mins).
  16. Upstate NTC, Apr 2015: Counting Number Field Extensions (20mins).
  17. Upstate NTC, Apr 2016: Characterizations of Quadratic, Cubic, and Quartic Residue Matrices (20mins).
  18. Joint Math Meetings, Jan 2017: Characterizations of Quadratic, Cubic, and Quartic Residue Matrices (10mins).
  19. Quebec-Vermont NTS, Feb 2017: Counting Number Fields by (Rho)-Discriminant (90mins).
  20. University of Vermont Colloquium, Mar 2017: Lines, Points, and Dimensions: A Tour of the Kakeya Problem in Algebra and Analysis (60mins).
  21. ASU Postdoc Seminar, Sep 2017: The Kakeya Problem in Algebra and Analysis (50mins).
  22. CNTA XV, July 2018: Signatures of (Circular) Units in Cyclotomic Fields (20mins).


Notes for expository talks. (All talks are 60mins unless noted.)
  1. SUMS (Rochester), Feb 2016: A Tour of Classical and Modern Cryptography.
  2. UVM Math Day, May 2017: Points, Lines, and Dimensions.
  3. ASU HS Math Circle, Nov 2017: The Kakeya Problem (30mins).
  4. NEU Math Club, Feb 2020: The Kakeya Problem in Algebra and Analysis.
  5. NEU Math Club, Nov 2022: The p-adic Integers.
  6. NEU Math Club, Sep 2023: Factoring Integers Using Elliptic Curves.