RESEARCH
TALKS /
WORKSHOPS

Coming Soon:
Previously Given:

“Some refinements of Artin's conjecture,”
CMS Summer Meeting,
Fredericton, NB, Canada, June 2018.

“A Brief History of Primes” and
“Structured Randomness in the Primes,”
Sigma Xi Lectures, Williams College,
Williamstown, MA, April 2018.

“Insolvability of the quintic without Galois theory,”
Yale Undergraduate Math Society,
New Haven, CT, January 2018.

“Some refinements of Artin's conjecture,”
Yale Algebra and Number Theory seminar,
New Haven, CT, January 2018.

“The unreasonable effectiveness of the PolyaVinogradov inequality,”
Rice Algebraic Geometry and Number Theory seminar,
Houston, TX, November 2017.

“The unreasonable effectiveness of the PolyaVinogradov inequality,”
Michigan Group, Lie and Number Theory seminar,
Ann Arbor, MI, November 2017.

“Why you should care about the PolyaVinogradov inequality,”
Tufts Algebra, Geometry, and Number Theory seminar,
Medford, MA, November 2017.

“Why you should care about the PolyaVinogradov inequality,”
Heilbronn/ESTIA Number Theory seminar, University of Bristol,
Bristol, UK, September 2017.

“Improving Burgess via PolyaVinogradov,”
Zahlentheoretisches Kolloquium, TU Graz,
Graz, Austria, September 2017.

“Why you should care about the PolyaVinogradov inequality,”
Mathematical Congress of the Americas,
Montreal, QC, Canada, July 2017.

“The long and short of character sums,”
MSRI Analytic Number Theory seminar,
Berkeley, CA, April 2017.

“Refinements of Lagrange's FourSquare Theorem,”
Williams College Math Faculty Seminar,
Williamstown, MA, December 2016.

Invited participant,
workshop on analytic number theory,
Mathematisches
Forschungsinstitut Oberwolfach,
Germany, November 2016.

“Characters and their nonresidues,”
Five College Number Theory Seminar,
Amherst, MA, April 2016.

“Characters and their nonresidues,”
the Ohio State University Number Theory Seminar,
Columbus, OH, March 2016.

“Characters and their nonresidues,”
Boston College Number Theory seminar,
Chestnut Hill, MA, February 2016.

“Mock Characters and Finite State Machines,”
Williams College math faculty seminar,
Williamstown, MA, December 2015.

“Mock characters,”
Invited speaker,
Maine / Quebec Number Theory Conference,
Orono, ME, October 2015.

“Structure and Randomness in the Primes,”
Mathematics Department Awards Day,
University of Connecticut,
Mansfield, CT, April 2015.

“Characters and their nonresidues,”
Number Theory seminar,
University of British Columbia,
Vancouver, BC, Canada, April 2015.

“Characters and their nonresidues,”
Algebra seminar,
Wesleyan University,
Middletown, CT, February 2015.

“Long character sums and the least nonresidue,”
Invited speaker,
New approaches in
probabilistic and multiplicative number theory,
CRM, Montréal, QC, Canada, December 2014.

“Bounds on the least quadratic nonresidue,”
Rutgers Number Theory seminar,
Piscataway, NJ, November 2014.

“Bounds on the least quadratic nonresidue,”
Yale Algebra and Number Theory seminar,
New Haven, CT, October 2014.

“An ErdosKac theorem for multiplicative orders,”
Invited speaker,
Clay Research Conference (Workshop on
Analytic Number Theory), Oxford University,
Oxford, UK, September 2014.

“Bounds on the least quadratic nonresidue,”
Invited speaker,
Canadian Number Theory Association Meeting XIII,
Carleton University, Ottawa, ON, Canada, June 2014.

“Bounds on the least quadratic nonresidue,”
University of Waterloo Number Theory seminar,
Waterloo, ON, Canada, April 2014.

“Bounds on the least quadratic nonresidue,”
Plenary speaker,
SERMON XXVII,
Wofford College, Spartanburg, SC, USA, April 2014.

“A survey of character sums,”
Number Theory / Arithmetic Geometry Seminar,
McMaster University, Hamilton, ON, Canada, November 2013.

“Bounds on the least quadratic nonresidue,”
Invited speaker,
MontrealToronto Workshop in Number Theory,
Fields Institute, Toronto, ON,
Canada, November 2013.

“On the least quadratic nonresidue,”
Fields Institute Number Theory Seminar,
Fields Institute, Toronto, ON,
Canada, September 2013.

“Large character sums,”
Heilbronn Seminar,
University of Bristol, Bristol, UK, June 2013.

“Maximal magnitudes of character sums,”
Rencontres de théorie analytique et élémentaire des nombres,
Institut Henri Poincaré, Paris, France, June 2013.

“Lfunctions with nth order twists,”
invited speaker, Canadian Math Society Winter Meeting,
Montreal, QC, Canada, December 2012.

“Character sums, large and small,”
Mathematics Colloquium,
Temple University, Philadelphia, PA,
September 2012.

“Large character sums,”
AMS Eastern Sectional Meeting,
Rochester, NY,
September 2012.

“Lower bounds on character sums,”
Fields Institute Number Theory Seminar,
Fields Institute, Toronto, ON,
Canada, September 2012.

“Lower bounds on even order character sums,”
Analytic Number Theory Seminar,
Université de Montréal, Montréal, QC,
Canada, August 2012.

“A quadratic large sieve over number fields,”
Canadian Number Theory Association Meeting XII,
University of Lethbridge, Lethbridge, AB, Canada,
June 2012.

“The distribution of character sums,”
invited speaker,
3rd MontréalToronto Workshop in Number Theory,
Fields Institute, Toronto, ON, Canada, October 2011.

“Lower bounds on odd order character sums,”
University of Toronto Number Theory seminar,
Toronto, ON, Canada, September 2011.

“The PólyaVinogradov inequality and
improvements,”
Mathematics Research Communities conference on the Pretentious
View of Analytic Number Theory,
Snowbird, UT, USA, July 2011.

“Subconvexity for a family of double Dirichlet
series,”
invited speaker, Canadian Math Society Summer Meeting,
Edmonton, AB, Canada, June 2011.

“An ErdősKac theorem for multiplicative
order,”
University of Toronto Number Theory seminar,
Toronto, ON, Canada, October 2010.

“Sharp bounds on cubic character sums,”
SUNYUniversity at Buffalo Analysis seminar,
Buffalo, NY, October 2010.

“An ErdősKac theorem for multiplicative order,”
Canadian Number Theory Association Meeting XI,
Acadia University, Wolfville, NS, Canada, July 2010.

“Sharp bounds on cubic character sums,”
Gottingen University Mathematics Colloquium,
Gottingen, Germany, June 2010.

“Sharp bounds on cubic character sums,”
University of Rochester Number Theory seminar,
Rochester, NY, April 2010.

“Sharp bounds on oddorder character sums,”
UBC / SFU joint number theory seminar,
Vancouver, BC, Canada, April 2010.

“Multiplicative mimicry and exponential sums with
multiplicative coefficients,”
University of Waterloo Number Theory seminar,
Waterloo, ON, Canada, February 2010.

“Multiplicative mimicry and the PólyaVinogradov
inequality,”
invited speaker, Canadian Math Society Winter meeting,
Windsor, ON, Canada, December 2009.

“Sharp bounds on cubic character sums,”
University of Toronto Number Theory seminar,
Toronto, ON, Canada, November 2009.

“Multiplicative mimicry and the PólyaVinogradov
inequality,”
invited speaker, American Math Society Eastern Section
meeting, Pennsylvania State College, State College, PA,
October 2009.

“Multiplicative mimicry and the PólyaVinogradov
inequality,”
Dartmouth Number Theory seminar,
Dartmouth College, Hanover, NH,
February 2009.

“Pretentious behavior in number theory,”
Algebra and Algebraic Geometry seminar, Brown University,
Providence, RI, October 2008.

“Pretentious behavior in number theory,”
Everytopic seminar, Brandeis University, Waltham, MA, October
2008.

“Character sums to smooth moduli are small,”
Canadian Number Theory Association Meeting X, University of
Waterloo, Ontario, Canada, July 2008.

“Pretentious Characters and the PólyaVinogradov
Theorem,”
UCLA Number Theory Seminar, Los Angeles, CA, April 2008.

“Pretentious functions,”
Student Arithmetic seminar,
University of Michigan, Ann Arbor, MI, October 2006.

“On the distribution of eigenvalues of random
weighted graphs,”
American Institute of Mathematics,
Palo Alto, CA, August 2003.
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