Grants NSA Young Investigator grant ($40,000), NSERC Discovery Grant ($75,000),

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1 Research Employment Number Theory (particularly related to L-functions and characters) : Assistant Professor, 2014 present. : Assistant Professor, : Postdoctoral Fellow, Education University of Michigan, Ph.D. in Mathematics, Advisors: K. Soundararajan and J. Lagarias. Princeton University, B.A. in Mathematics, 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/ (with P. Pollack) Refinements of Lagrange s four-square theorem, Amer. Math. Monthly, to appear. Preprint available at (with J. Bober) Pólya-Vinogradov and the least quadratic nonresidue, Math. Ann. 366 (2016), no. 1-2, (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, (with V. Blomer and B. Louvel) L-functions with n-th order twists, IMRN 2014 (7), (with J. Bober) The distribution of the maximum of character sums, Mathematika, Vol. 59 (02), 2013, pp (with B. Louvel) A quadratic large sieve inequality over number fields, Math. Proc. Camb. Phil. Soc., Volume 154 (02), 2013, (with Y. Lamzouri) Lower bounds on odd order character sums, IMRN 2012 (21), Multiplicative mimicry and improvements to the Pólya-Vinogradov inequality, Algebra and Number Theory Vol. 6 (2012), No. 1, Character sums to smooth moduli are small, Canad. J. Math. Vol. 62 (5), 2010 pp (with E. Lopez et al.) Postbreakthrough behavior in flow through porous media, Physical Review E 67, (2003). 1. (with J.-P. Allouche) Mock characters and the Kronecker symbol, submitted. Preprint available at arxiv.org/abs/ (with Elijah Fromm) Improving the Burgess bound via Pólya-Vinogradov, submitted. Preprint available at arxiv.org/abs/ Grants NSA Young Investigator grant ($40,000), 2015 NSERC Discovery Grant ($75,000),

2 Service Committee on Educational Affairs (elected position), Williams, Hiring committee, Dept. of Mathematics, Williams, Faculty advisor, Dodd undergraduate neighborhood, Williams, Graduate committee, Dept. of Mathematics,, Co-founder, Fields Institute Number Theory Seminar, Organizer, Number Theory Seminar, Co-organizer, New Perspectives in Multiplicative Number Theory, Special Session at Joint Mathematics Meetings, Boston, MA, January Co-organizer, Third Montréal-Toronto Workshop in Number Theory, Fields Institute, Toronto, ON, October Co-Director, Math Circle Summer Teacher Training Institute, University of Notre Dame, Notre Dame, IN, July 2010 and Helped program participants (primarily K 12 teachers from across the country) develop their pedagogy. Reviewer for Mathematical Reviews. Mentoring Teaching Postdoctoral: Jing-Jing Huang ( ), jointly supervised with J. Friedlander Undergraduate: Elijah Fromm ( ), Gabriel Staton ( ), Gal Gross (2015), Vidya Venkatesh (2015), Huy Pham (2015), Sophia Dever (2015), Michael Druker (2015), Fadi Hirmiz (2012), Chao Shen (2012), Joshua Seaton ( ), Sergio da Silva ( ), Mitsuru Wilson ( ), Ilia Smirnov ( ), Barum Rho ( ). 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

3 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 Clay Research Conference (Workshop on Analytic Number Theory), Oxford University, Oxford, UK, September CNTA XIII, Carleton University, Ottawa, ON, Canada, June CNTA XII, University of Lethbridge, Lethbridge, AB, Canada, June CNTA XI, Acadia University, Wolfville, Nova Scotia, Canada, July CNTA X, University of Waterloo, Ontario, Canada, July Regional Conferences 11. Maine/Québec Number Theory Conference, Orono, ME, October SERMON XXVII (Plenary speaker), Wofford College, Spartanburg, SC, April Montréal-Toronto Workshop in Number Theory, Fields Institute, Toronto, ON, Canada, November Rencontres de théorie analytique et élémentaire des nombres, Institut Henri Poincaré, Paris, France, June CMS Winter Meeting, Montréal, QC, Canada, December AMS Eastern Sectional Meeting, Rochester, NY, September rd Montreal-Toronto Workshop in Number Theory, Fields Institute, Toronto, ON, Canada, October Mathematical Research Communities program on Pretentious Methods in Analytic Number Theory, Snowbird, UT, July CMS Summer meeting, Edmonton, AB, Canada, June CMS Winter meeting, Windsor, ON, Canada, December AMS Eastern Section meeting, Pennsylvania State College, State College, PA, October Colloquia and Seminars 37. Sigma Xi lectures at, Williamstown, MA, April Yale Algebra and Number Theory seminar, New Haven, CT, January 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

4 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 Five College Number Theory Seminar, Amherst, MA, April The Ohio State University Number Theory seminar, Columbus, OH, March Boston College Number Theory seminar, Chestnut Hill, MA, February math faculty seminar, Williamstown, MA, December University of Connecticut Math Department Awards Day, Mansfield, CT, April University of British Columbia Number Theory seminar, Vancouver, BC, Canada, April Wesleyan University Algebra seminar, Middletown, CT, February Rutgers Number Theory seminar, Piscataway, NJ, November Yale Algebra and Number Theory seminar, New Haven, CT, October University of Waterloo Number Theory seminar, Waterloo, ON, Canada, April Number Theory / Arithmetic Geometry Seminar, McMaster University, Hamilton, ON, Canada, November Fields Institute Number Theory Seminar, Fields Institute, Toronto, ON, Canada, September Heilbronn Seminar, University of Bristol, Bristol, UK, June Mathematics Colloquium, Temple University, Philadelphia, PA, September Fields Institute Number Theory Seminar, Fields Institute, Toronto, ON, Canada, September Analytic Number Theory Seminar, Université de Montréal, Montréal, QC, Canada, August Number Theory seminar, Toronto, ON, Canada, September Number Theory seminar, October Analysis seminar, SUNY-University at Buffalo, Buffalo, NY, October University of Göttingen Colloquium, Göttingen, Germany, June University of Rochester Number Theory seminar, Rochester, NY, April UBC / SFU joint number theory seminar, Vancouver, BC, Canada, April University of Waterloo Number Theory seminar, Waterloo, ON, Canada, February Number Theory seminar, November Dartmouth Number Theory Seminar, Dartmouth College, Hanover, NH, February

5 4. Algebra and Algebraic Geometry seminar, Brown University, Providence, RI, October Everytopic seminar, Brandeis University, Waltham, MA, October UCLA Number Theory Seminar, Los Angeles, CA, April American Institute of Mathematics, Palo Alto, CA, August Personal Phone: (413) Web: web.williams.edu/mathematics/lg5/ Citizenship: USA Languages: English (native), Russian (native), French (proficient), Italian (reading), German (deplorable) Hobbies: Actor (Stanford Shakespeare Company, 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, seasons) Sports (badminton, boxing, cross-country skiing, hiking, running, swimming) References Professor K. Soundararajan Stanford University Stanford, CA ksound@math.stanford.edu Professor Jeffrey C. Lagarias University of Michigan Ann Arbor MI 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