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Curriculum Vitae Aaron Landesman Curriculum Vitae Appointments 2021- National Science Foundation Postdoctoral Fellow, Harvard University, Cam- bridge, MA. Sponsor: Melanie Matchett Wood Education 2016-2021 Ph.D. in Mathematics, Stanford University, Stanford, CA. Adviser: Ravi Vakil 2012-2016 Honors A.B. in Mathematics, Secondary in Computer Science, summa cum laude and highest honors in mathematics, Harvard University, Cambridge, MA. GPA – 3.97/4.00 Preprints and Publications Preprints 21. Stacky heights on elliptic curves in characteristic 3, 2021, https://arxiv. org/abs/2107.08318. 20. A geometric approach to the Cohen-Lenstra heuristics, 2021, https://arxiv. org/abs/2106.10357. 19. The geometric distribution of Selmer groups of elliptic curves over function fields, with Tony Feng and Eric M. Rains, 2020, https://arxiv.org/abs/2003. 07517. 18. The infinitesimal Torelli problem, 2019, https://arxiv.org/abs/1911. 02187. Publications 17. A Fulton-Hansen theorem for almost homogeneous spaces, with János Kollár, Bollettino dell’Unione Matematica Italiana, 2021, https://rdcu.be/coRM3. Special volume dedicated to Fabrizio Catanese 16. Improved lower bounds for the number of fields with alternating Galois group, with Robert Lemke Oliver and Frank Thorne, Bulletin of the London Mathematical Society, 2021, https://doi.org/10.1112/blms.124902021. 15. The geometric average size of Selmer groups, Algebra & Number Theory 15 (2021), no. 3, 673-709. Q [email protected] • web.stanford.edu/∼aaronlan Citizenship: US Citizen 1/8 14. The Torelli map restricted to the hyperelliptic locus, Transactions of the Amer- ican Mathematical Society, Series B 8 (2021), 354-378. 13. Hyperelliptic Curves with Maximal Galois Action on the Torsion Points of their Jacobians, with Ashvin Swaminathan, James Tao, and Yujie Xu, Indiana University Mathematics Journal 69 (2020), no. 7, 2461-2492. 12. Surjectivity of Galois Representations in Rational Families of Abelian Vari- eties, with Ashvin Swaminathan, James Tao, and Yujie Xu, Algebra & Number Theory 13 (2019), no. 5, 995-1038. 11. Interpolation Problems: Del Pezzo Surfaces, with Anand Patel, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 19 (2019), no. 4, 1389-1428. 10. An explicit Abelian surface with maximal Galois action, with Quinn Greicius, Experimental Mathematics (2019), 1-5. 9. Canonical Rings of Q-divisors on Minimal Rational Surfaces, with Peter Ruhm and Robin Zhang, Math. Res. Lett. 25 (2018), no. 4, 1329-1357. 8. The twisting algebraic Sato-Tate group of the curve y2 = x8 − 14x4 + 1, with Sonny Arora, Victoria Cantoral-Farfán, Davide Lombardo, and Jackson S. Morrow, Mathematische Zeitschrift, 290 (2018), no. 3-4, 991-1022. 7. Proof of Stasinski and Voll’s Hyperoctahedral Group Conjecture, The Aus- tralasian Journal of Combinatorics, 71 (2018), 196-240. 6. Interpolation of Varieties of Minimal Degree, Int. Math. Res. Not. IMRN (2018), no. 13, 4063-4083. 5. Lifting Subgroups of Symplectic Groups over Z/`Z, with Ashvin Swaminathan, James Tao, and Yujie Xu, Res. Number Theory 3 (2017), Paper No. 14. 4. Artin Group Presentations Arising from Cluster Algebras, with Jacob Haley, David Hemminger, and Hailee Peck, Algebras and Representation Theory 20 (2017), no. 3, 629-653, DOI: 10.1007/s10468-016-9657-9. 3. Peckness of Edge Posets, with David Hemminger and Zijian Yao, Order 34 (2017), no. 3, 441-463, DOI: 10.1007/s11083-016-9408-x. 2. Spin Canonical Rings of Log Stacky Curves, with Peter Ruhm and Robin Zhang, Annales de l’Institut Fourier (Grenoble) 66 (2016), no. 6, 2339-2383. 1. A New Proof of Serre’s Homological Characterization of Regular Local Rings, with Ravi Jagadeesan, Res. Number Theory 2 (2016), Paper No. 18. Awards and Fellowships 2021- NSF Mathematical Sciences Postdoctoral Research Fellowship, Harvard University 2021 Oberwolfach Research Fellow, Mathematical Research Institute of Oberwolfach 2019 “The Anonymous Fellowship” in recognition of strong graduate work in the depart- ment 2017 Frank and Brennie Morgan Prize for Outstanding Research in Mathematics by an Undergraduate Student: Honorable Mention. Announcement at http://www.ams. org/publications/journals/notices/201704/rnoti-p330.pdf. Q [email protected] • web.stanford.edu/∼aaronlan Citizenship: US Citizen 2/8 2016-2021 National Science Foundation Graduate Research Fellowship 2016 A. Craig Franklin Fellowship, in recognition of strong graduate work 2016 David Mumford Undergraduate Mathematics Prize, given annually to the most promising Harvard senior concentrator in mathematics 2016 Thomas Temple Hoopes prize, given annually to Harvard undergraduates on the basis of outstanding scholarly work or research 2016 Friends of Harvard Mathematics award, given to one student each year for an outstanding senior thesis 2016 Edward H. Potter Prize, awarded to students of Eliot house who best fulfill great enthusiasm and curiosity for truly eclectic learning 2016 Harvard University Certificate of Distinction in Teaching, Math 137: Algebraic Geometry 2015 Phi Beta Kappa – Member of Junior 24 2015 Navid Saheb Kashaf Mathematics and Physics prize 2014-2016 Frank Tarr Memorial Scholarship – to attend Harvard University 2012-2014 Harvard Faculty Scholarship – to attend Harvard University 2013-2014 Honorable Mention in the Putnam Mathematics Competition – 33rd Place in 2013 2013, 2015 John Harvard Scholar – top 5% in Harvard Class of 2016 2013 Detur Book Prize Winner – for academic excellence in the Harvard Class of 2016 Teaching Experience 2019 Stanford University, Teaching Assistant for Math 51: Linear Algebra and Multi- variable Calculus. Taught four hours of weekly sections, held three weekly office hours, graded exams 2018 Stanford University, Course Assistant for Math 210A: Intro Graduate Algebra (Professor Richard Taylor). Held weekly office hours, graded homework and final, substitute taught one class, and met with students individually 2018 Stanford University, Course Assistant for Undergraduate Reading Course on Local Fields (Professor Brian Conrad). Graded homework and met with students individually to answer questions 2017, 2018 Canada/USA Mathcamp, Mentor. Taught five weeks of classes each year to talented high school students on topics including finite fields, the fundamental group, representation theory, Riemann surfaces, subgroups of GL2(Fp), the outer automorphism of S6, and topological groups. 2017 Stanford University, Teacher. Taught review of group theory, linear algebra, and Galois theory to prepare students for the graduate algebra sequence. 2017 Stanford University, Course Assistant for Math 154: Undergraduate Algebraic Number Theory (Professor Brian Conrad). Taught weekly sections, edited and graded homework, and met with students individually Q [email protected] • web.stanford.edu/∼aaronlan Citizenship: US Citizen 3/8 2016 Harvard University, Course Assistant for Math 137: Algebraic Geometry (Profes- sor Joseph Harris). Taught weekly sections, edited and graded homework, and met with students individually 2014-2015 Harvard University, Course Assistant for Math 55a: Honors Algebra and Math 55b: Honors Analysis (Professor Dennis Gaitsgory). Taught 4 classes while Professor Gaitsgory was away, held weekly review sessions, held weekly office hours, edited and graded homework, and met with students individually Talks Invited talks 2021 A geometric approach to the Cohen-Lenstra heuristics, Workshop on explicit methods in number theory, Mathematisches Forschungsinstitut Oberwolfach. 2021 A geometric approach to the Cohen-Lenstra heuristics, Workshop on Arith- metic Statistics Problems, Online conference. 2021 Torsion line bundles on finite covers, Workshop on classical algebraic geometry, Mathematisches Forschungsinstitut Oberwolfach. 2021 The Torelli map restricted to the hyperelliptic locus, Mexican algebraic geom- etry seminar, Online talk. 2020 A geometric approach to the Cohen-Lenstra heuristics, Algebraic Geometry seminar, Princeton University. 2020 A geometric approach to the Cohen-Lenstra heuristics, Number theory seminar, Harvard University. 2020 The Torelli map restricted to the hyperelliptic locus, Algebraic geometry sem- inar, Stanford University. 2020 The geometric average size of Selmer groups over function fields, AMS special session on stability in topology, arithmetic, and representation theory, The meeting was originally scheduled to occur at Purdue, but was cancelled, and talks were instead held online. 2020 The geometric distribution of ranks and Selmer groups of elliptic curves over function fields, Number theory and representation theory seminar, University of Wisconsin-Madison. 2019 The geometric distribution of ranks and Selmer groups of elliptic curves over function fields, Seminar on automorphic forms and arithmetic, Columbia University. 2019 The geometric distribution of ranks and Selmer groups of elliptic curves over function fields, Algebra, geometry, and number theory seminar, Tufts University. 2019 The geometric distribution of Selmer groups over function fields, Special session on geometry and topology in arithmetic, University of Wisconsin-Madison. 2019 The Grothendieck ring of varieties, and stabilization in the algebro-geometric setting, Conference on arithmetic topology, Pacific Institute for the Mathematical Sciences, Vancouver, Canada, Second part of a mini-course; the first part was given by Ravi Vakil. Q [email protected] • web.stanford.edu/∼aaronlan Citizenship: US Citizen 4/8 2019 The geometric average size of Selmer groups over function fields, Algebraic geometry seminar, University of California,
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