Research Employment Number Theory (particularly related to L-functions and characters) : Assistant Professor, 2014 present. : Assistant Professor, 2011 2014. : Postdoctoral Fellow, 2009 2011. Education University of Michigan, Ph.D. in Mathematics, 2009. Advisors: K. Soundararajan and J. Lagarias. Princeton University, B.A. in Mathematics, 2004. Publications Preprints 12. (with J. Bober, A. Granville, D. Koukoulopoulos) The distribution of the maximum of character sums, J. Eur. Math. Soc., to appear. Preprint available at arxiv.org/abs/1410.8189 11. (with P. Pollack) Refinements of Lagrange s four-square theorem, Amer. Math. Monthly, to appear. Preprint available at http://arxiv.org/abs/1703.03092 10. (with J. Bober) Pólya-Vinogradov and the least quadratic nonresidue, Math. Ann. 366 (2016), no. 1-2, 853 863. 9. (with C. Khoury, S. J. Miller, and K. Ninsuwan) On the spectral distribution of large weighted random regular graphs, Random Matrices Theory Appl. 3 (2014), no. 4, 22 pp. 8. (with Y. Lamzouri) Large even order character sums, Proc. Amer. Math. Soc. 142 (2014) no. 8, 2609 2614. 7. (with V. Blomer and B. Louvel) L-functions with n-th order twists, IMRN 2014 (7), 1925 1955. 6. (with J. Bober) The distribution of the maximum of character sums, Mathematika, Vol. 59 (02), 2013, pp. 427 442. 5. (with B. Louvel) A quadratic large sieve inequality over number fields, Math. Proc. Camb. Phil. Soc., Volume 154 (02), 2013, 193 212. 4. (with Y. Lamzouri) Lower bounds on odd order character sums, IMRN 2012 (21), 5006 5013. 3. Multiplicative mimicry and improvements to the Pólya-Vinogradov inequality, Algebra and Number Theory Vol. 6 (2012), No. 1, 123 163. 2. Character sums to smooth moduli are small, Canad. J. Math. Vol. 62 (5), 2010 pp. 1099 1115. 1. (with E. Lopez et al.) Postbreakthrough behavior in flow through porous media, Physical Review E 67, 056314 (2003). 1. (with J.-P. Allouche) Mock characters and the Kronecker symbol, submitted. Preprint available at arxiv.org/abs/1608.03957 2. (with Elijah Fromm) Improving the Burgess bound via Pólya-Vinogradov, submitted. Preprint available at arxiv.org/abs/1706.03002 Grants NSA Young Investigator grant ($40,000), 2015 NSERC Discovery Grant ($75,000), 2012 1
Service Committee on Educational Affairs (elected position), Williams, 2015 16. Hiring committee, Dept. of Mathematics, Williams, 2014 16. Faculty advisor, Dodd undergraduate neighborhood, Williams, 2014 16. Graduate committee, Dept. of Mathematics,, 2013 14. Co-founder, Fields Institute Number Theory Seminar, 2012 14. Organizer, Number Theory Seminar, 2010 12. Co-organizer, New Perspectives in Multiplicative Number Theory, Special Session at Joint Mathematics Meetings, Boston, MA, January 2012. Co-organizer, Third Montréal-Toronto Workshop in Number Theory, Fields Institute, Toronto, ON, October 2011. Co-Director, Math Circle Summer Teacher Training Institute, University of Notre Dame, Notre Dame, IN, July 2010 and 2011. Helped program participants (primarily K 12 teachers from across the country) develop their pedagogy. Reviewer for Mathematical Reviews. Mentoring Teaching Postdoctoral: Jing-Jing Huang (2012 2014), jointly supervised with J. Friedlander Undergraduate: Elijah Fromm (2016-17), Gabriel Staton (2015-16), Gal Gross (2015), Vidya Venkatesh (2015), Huy Pham (2015), Sophia Dever (2015), Michael Druker (2015), Fadi Hirmiz (2012), Chao Shen (2012), Joshua Seaton (2010-2011), Sergio da Silva (2009-2011), Mitsuru Wilson (2009-2010), Ilia Smirnov (2009-2010), Barum Rho (2009-2010). University Courses Calculus for Management I Calculus I Calculus II Honors Calculus I Honors Calculus II Linear Algebra Introduction to Analysis Groups and Symmetry Galois Theory Number Theory Cryptography History of Mathematics I Expander Graphs Additive Combinatorics Analytic Number Theory Algebraic Number Theory University of Michigan University of Michigan & & The Boston Area Math Circle Led two classes of 4th-6th graders to make discoveries in combinatorial geometry. (Fall 2002) Olympiad training, Buckingham Browne & Nichols, Cambridge, MA. Taught elective afterschool program for 7th-8th graders. (Fall 2002) 2
Talks International Conferences and Workshops 8. Mathematical Congress of the Americas (session on Advances in Algebraic and Analytic Number Theory), Montréal, QC, Canada, July 7. MSRI Analytic Number Theory seminar, Berkeley, CA, April 6. New approaches in probabilistic and multiplicative number theory, CRM, Montréal, QC, Canada, December 2014. 5. Clay Research Conference (Workshop on Analytic Number Theory), Oxford University, Oxford, UK, September 2014. 4. CNTA XIII, Carleton University, Ottawa, ON, Canada, June 2014. 3. CNTA XII, University of Lethbridge, Lethbridge, AB, Canada, June 2012. 2. CNTA XI, Acadia University, Wolfville, Nova Scotia, Canada, July 2010. 1. CNTA X, University of Waterloo, Ontario, Canada, July 2008. Regional Conferences 11. Maine/Québec Number Theory Conference, Orono, ME, October 2015. 10. SERMON XXVII (Plenary speaker), Wofford College, Spartanburg, SC, April 2014. 9. Montréal-Toronto Workshop in Number Theory, Fields Institute, Toronto, ON, Canada, November 2013. 8. Rencontres de théorie analytique et élémentaire des nombres, Institut Henri Poincaré, Paris, France, June 2013. 7. CMS Winter Meeting, Montréal, QC, Canada, December 2012. 6. AMS Eastern Sectional Meeting, Rochester, NY, September 2012. 5. 3rd Montreal-Toronto Workshop in Number Theory, Fields Institute, Toronto, ON, Canada, October 2011. 4. Mathematical Research Communities program on Pretentious Methods in Analytic Number Theory, Snowbird, UT, July 2011. 3. CMS Summer meeting, Edmonton, AB, Canada, June 2011. 2. CMS Winter meeting, Windsor, ON, Canada, December 2009. 1. AMS Eastern Section meeting, Pennsylvania State College, State College, PA, October 2009. Colloquia and Seminars 37. Sigma Xi lectures at, Williamstown, MA, April 2018. 36. Yale Algebra and Number Theory seminar, New Haven, CT, January 2018. 35. Rice Algebraic Geometry and Number Theory seminar, Houston, TX, November 34. Michigan Group, Lie and Number Theory seminar, Ann Arbor, MI, November 33. Tufts Algebra, Geometry, and Number Theory seminar, Medford, MA, November 3
32. Zahlentheoretisches Kolloquium, TU Graz, Graz, Austria, September 31. Heilbronn/ESTIA Number Theory seminar, University of Bristol, Bristol, UK, September 30. math faculty seminar, Williamstown, MA, December 2016. 29. Five College Number Theory Seminar, Amherst, MA, April 2016. 28. The Ohio State University Number Theory seminar, Columbus, OH, March 2016. 27. Boston College Number Theory seminar, Chestnut Hill, MA, February 2016. 26. math faculty seminar, Williamstown, MA, December 2015. 25. University of Connecticut Math Department Awards Day, Mansfield, CT, April 2015. 24. University of British Columbia Number Theory seminar, Vancouver, BC, Canada, April 2015. 23. Wesleyan University Algebra seminar, Middletown, CT, February 2015. 22. Rutgers Number Theory seminar, Piscataway, NJ, November 2014. 21. Yale Algebra and Number Theory seminar, New Haven, CT, October 2014. 20. University of Waterloo Number Theory seminar, Waterloo, ON, Canada, April 2014. 19. Number Theory / Arithmetic Geometry Seminar, McMaster University, Hamilton, ON, Canada, November 2013. 18. Fields Institute Number Theory Seminar, Fields Institute, Toronto, ON, Canada, September 2013. 17. Heilbronn Seminar, University of Bristol, Bristol, UK, June 2013. 16. Mathematics Colloquium, Temple University, Philadelphia, PA, September 2012. 15. Fields Institute Number Theory Seminar, Fields Institute, Toronto, ON, Canada, September 2012. 14. Analytic Number Theory Seminar, Université de Montréal, Montréal, QC, Canada, August 2012. 13. Number Theory seminar, Toronto, ON, Canada, September 2011. 12. Number Theory seminar, October 2010. 11. Analysis seminar, SUNY-University at Buffalo, Buffalo, NY, October 2010. 10. University of Göttingen Colloquium, Göttingen, Germany, June 2010. 9. University of Rochester Number Theory seminar, Rochester, NY, April 2010. 8. UBC / SFU joint number theory seminar, Vancouver, BC, Canada, April 2010. 7. University of Waterloo Number Theory seminar, Waterloo, ON, Canada, February 2010. 6. Number Theory seminar, November 2009. 5. Dartmouth Number Theory Seminar, Dartmouth College, Hanover, NH, February 2009. 4
4. Algebra and Algebraic Geometry seminar, Brown University, Providence, RI, October 2008. 3. Everytopic seminar, Brandeis University, Waltham, MA, October 2008. 2. UCLA Number Theory Seminar, Los Angeles, CA, April 2008. 1. American Institute of Mathematics, Palo Alto, CA, August 2003. Personal Phone: (413) 597-2361 Email: lg5@williams.edu Web: web.williams.edu/mathematics/lg5/ Citizenship: USA Languages: English (native), Russian (native), French (proficient), Italian (reading), German (deplorable) Hobbies: Actor (Stanford Shakespeare Company, 2007-08 season) Opera singer (Royal Conservatory s productions of Don Giovanni (2013) and The Cunning Little Vixen (2014), Koerner Hall, Toronto, Canada) Violist (Berkshire Symphony Orchestra, Williamstown, MA, 2014-16 seasons) Sports (badminton, boxing, cross-country skiing, hiking, running, swimming) References Professor K. Soundararajan Stanford University Stanford, CA 94305 ksound@math.stanford.edu Professor Jeffrey C. Lagarias University of Michigan Ann Arbor MI 48109-1043 lagarias@umich.edu David Fleet (teaching) Department of Computer Science Toronto, ON M5S 3G4, Canada fleet@cs.toronto.edu Professor Andrew Granville Département de mathématiques Université de Montréal Montréal, QC H3C 3J7, Canada andrew@dms.umontreal.ca Professor John Friedlander Toronto, ON M5S 2E4, Canada frdlndr@utsc.utoronto.ca Robert Kaplan (teaching) Co-founder The Math Circle Cambridge, MA kaplan@math.harvard.edu 5