Coming Soon:
• (Future) TBD.



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 Polya-Vinogradov inequality,” Rice Algebraic Geometry and Number Theory seminar, Houston, TX, November 2017.


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


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


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


• “Improving Burgess via Polya-Vinogradov,” Zahlentheoretisches Kolloquium, TU Graz, Graz, Austria, September 2017.


• “Why you should care about the Polya-Vinogradov 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 Four-Square 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 Erdos-Kac 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, Montreal-Toronto 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.


• “L-functions with n-th 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 Montréal-Toronto 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 Pólya-Vinogradov 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 Erdős-Kac theorem for multiplicative order,” University of Toronto Number Theory seminar, Toronto, ON, Canada, October 2010.


• “Sharp bounds on cubic character sums,” SUNY-University at Buffalo Analysis seminar, Buffalo, NY, October 2010.


• “An Erdős-Kac 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 odd-order 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 Pólya-Vinogradov 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 Pólya-Vinogradov inequality,” invited speaker, American Math Society Eastern Section meeting, Pennsylvania State College, State College, PA, October 2009.


• “Multiplicative mimicry and the Pólya-Vinogradov 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 Pólya-Vinogradov 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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