ALEXANDER J. DUNN Email:
[email protected] URL: http://alexjdunn.weebly.com/ Research interests Automorphic forms, L–functions and analytic number theory. Education 2015–current University of Illinois at Urbana–Champaign, USA Ph.D. student Advisors: Professors Scott Ahlgren and Alexandru Zaharescu 2015 University of Queensland, Australia Master of Philosophy (Mathematics) Thesis: Nahm’s conjecture in the Cartan case Advisors: Professors Ole Warnaar and Wadim Zudilin 2013 University of Queensland, Australia Bachelor of Science Honours I, awarded with a University Medal Awards and honours 2019 2018 2013 2013 2013 2013 2011 2011 2010
Invited Graduate Student speaker for SERMON UIUC Campus Fellowship, (under Scott Ahlgren) University Medal, U.Queensland The Ethel Raybould Prize in Mathematics, U.Queensland Australian Postgraduate Award Valedictorian, Faculty of Science, U.Queensland The Maude Walker Prize, Faculty of Science, U.Queensland Emmanuel College Academic Excellence Scholarship, U.Queensland UQ Excellence Scholarship
Papers and preprints 1. Maass forms and the mock theta function f (q), (with S. Ahlgren), Submitted. [arxiv] 2. Sums of Kloosterman sums over primes in an arithmetic progression, (with A. Zaharescu), Accepted in Q.J. Math. (Oxford). [arxiv] 3. Uniform estimates for sums of Kloosterman sums of half integral weight, Res. Number Theory 4 (2018), no. 4, Art. 45, 21 pp. [arxiv] 4. Polynomial partition asymptotics (with N. Robles) J. Math. Anal. Appl. 458 (2018), no. 1, 359-384. [arxiv] Thesis • Nahm’s conjecture in the Cartan case, MPhil Thesis, School of Mathematics and Physics, The University of Queensland (2015).
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Talks June 2018
April 2018 March 2018 Oct 2017 Oct 2017
Sept 2017 Sept 2014
Maass forms and the mock theta function f (q) Combinatory Analysis 2018, A Conference in Honor of George Andrews’ 80th Birthday, Penn State Partition asymptotics and the polylogarithm Philadelphia Area Number Theory Seminar, Bryn Mawr College Kloosterman sums attached to the Dedekind eta multiplier 32nd Automorphic Forms Workshop, Tufts University, Boston Partition asymptotics and the polylogarithm Pure Maths Seminar, University of Queensland, Australia Partition asymptotics and the polylogarithm Number Theory Down Under, La Trobe University, Australia This won the prize for the Best Student Talk Partition asymptotics and the polylogarithm Number Theory Seminar, UIUC Exploring Nahm’s conjecture Pure Maths Seminar, University of Queensland, Australia
Workshops June May Aug Jan Jan
2018 2017 2016 2015 2013
Hausdorff School on L-functions, Bonn, Germany Recent advances in analytic number theory, MSRI, UC Berkeley Connecticut Number Theory Summer School, University of Connecticut AMSI Summer School, University of Newcastle, Australia AMSI Summer School, University of Melbourne, Australia
Professional service Referee for Journal of Mathematical Analysis and its Applications and Journal of Number Theory. Teaching and research assistantships Spring 2019 Fall 2019 Spring 2018 Spring 2018 Fall 2017 Summer 2017 Spring 2017 Fall 2016 Summer 2016 Spring 2016 Spring 2016 Fall 2015 2011–2015 2015
UIUC Campus Fellowship UIUC Campus Fellowship Research assistant, UIUC Math 453 (Number theory) grader, UIUC Math 241 (Calc 3) TA, UIUC (Ranked as Outstanding) Research assistant, UIUC Math 241 (Calc 3) TA, UIUC (Ranked as Excellent) Math 241 (Calc 3) TA, UIUC (Ranked as Excellent) Netmath TA, UIUC Math 453 (Number theory) and 225 grader (Matrix theory), UIUC TA for Illinois State Math Contest Math 241 (Calc 3) TA, UIUC (Ranked as Excellent) TA/Lead TA for Discrete mathematics, real analysis and algebra courses, UQ Emmanuel College Mathematics Tutor, UQ
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