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, Davis. 2019 The geometric average size of Selmer groups over function fields, Special ses- sion on number theory, arithmetic geometry, and computation, Joint Math Meetings. 2018 The geometric average size of Selmer groups over function fields, Topology seminar, University of Minnesota, Twin Cities. 2018 The geometric average size of Selmer groups over function fields, Palmetto number theory series (PANTS) XXXI, invited graduate student speaker, University of South Carolina. 2017 Association with interpolation, Special Session on Research in Mathematics by Undergraduates, Joint mathematics meetings. 2016 Surjectivity of Galois representations in rational families of abelian varieties, Western algebraic geometry symposium, Colorado State, Poster Session. 2016 Interpolation, Friends prize speech on senior thesis, Harvard University. 2016 Interpolation of projective varieties, Algebraic geometry seminar, The University of Illinois at Chicago. 2016 Interpolation of projective varieties, Stanford student algebraic geometry semi- nar, Stanford University. 2016 Smoothability of genus 6 Petri general curves, Special session on moduli spaces in algebraic geometry, Joint Mathematics Meetings. Selected local talks, contributed talks, and poster presentations
2020 Counting D4 fields by conductor, Emory Arithmetic Statistics Student Seminar, Online. 2020 Counting extensions of degrees 2 and 3, following Bhargava, Bhargava learning seminar, Online, This was a series of twelve talks given throughout the month of April. 2019 Quotients of perfectly of finite presentation algebraic spaces, Learning seminar on Zhu’s construction of the mixed characteristic affine Grassmannian, Stanford University. 2019 Why the affine Grassmannian is a projective ind-scheme, Learning seminar on Zhu’s construction of the mixed characteristic affine Grassmannian, Stanford University. 2019 Homological Stability for Selmer Spaces?, Conference on Arithmetic Topology, Pacific Institute for the Mathematical Sciences, Vancouver, Canada. 2019 The Bakker-Tsimerman theorem, Learning seminar on the proof of Falting’s theorem by Lawrence and Venkatesh, Stanford University. 2018 The average size of 2-Selmer groups over function fields, Summer School on Geometry of Moduli Spaces of Curves, International Centre for Theoretical Physics. 2018 The average size of 2-Selmer groups over function fields, Conference on the Arithmetic of Algebraic Curves, University of Wisconsin-Madison.
Q [email protected] • web.stanford.edu/∼aaronlan Citizenship: US Citizen 5/8 2017 The classification of irreducible admissible representations of GL2(R) and GL2(C), Converse Theorem Learning Seminar, Stanford University. 2018 How to solve the quartic equation, Area Examination, Stanford University. 2016 Smooth base change, Étale Cohomology Learning Seminar, Stanford University. 2016 Spin canonical rings of stacky curves, Joint Mathematics Meetings, Poster Session. 2015 Spin canonical rings of stacky curves, Algebraic Geometry Northeastern Series, Brown University, Poster Session. 2015 Interpolation for varieties of minimal degree via degeneration theory, Baby Algebraic Geometry Seminar, Harvard University. 2015 Riemann-Roching out on the projective line, Math Table, Harvard University. 2015 A proof of Stasinski and Voll’s hyperoctahedral group conjecture, Joint Math- ematics Meetings. 2014 Quotients of Peck posets, Math Table, Harvard University. 2014 Modular forms and the four square theorem, Final presentation for Math 99r, Harvard University. 2013 Math 55 in 55 minutes, Alumni Reunion, Canada/USA Mathcamp. Experience Leadership Experience 2017-2018 Organizer, Bhargava Learning Seminar, Online learning seminar to learn Bhargava’s counting methods, talks were recorded to be of use to those trying to learn the material in the future, the audience was primarily based in the United States and Canada, though included listeners from England, France, and India. 2017-2018 Organizer, Student Algebraic Geometry Seminar. Organized Stanford’s student seminar on algebraic geometry 2016 Organizer, Reading Course on Stacks. Organized reading course to learn the material in Olsson’s stacks textbook 2015 Organizer, Reading Course on Deformation Theory. Organized reading course to learn the material in Hartshorne’s deformation theory textbook 2013–2014 Registration Director, Harvard MIT Math Tournament. Corresponded with attending teams, edited registration policy, coordinated attendance, and ran registration Successfully directed tournaments, helped thousands of high school students explore their passion for math 2012–2013 Head Grader, Harvard MIT Math Tournament. Organized and coordinated grading Advising 2020 Joshua Leib Kazdan. Ran directed reading program to read through Ravi Vakil’s notes on algebraic geometry.
Q [email protected] • web.stanford.edu/∼aaronlan Citizenship: US Citizen 6/8 2017 Quinn Greicius. Advised Quinn Greicius, a Stanford undergrad, on a project to compute the first explicit example of an abelian surface over a number field whose Galois representation has image GSp4(Zb). 2017-2018 Mathcamp Advising. Advised a number of high school students on brief summer projects during Mathcamp including Yuyuan Luo (investigating the outer automorphism of S6), Alex Cohen and Cynthia Du (reading Hatcher’s Algebraic Topology), and Pawel Poczobut (reading Vakil’s Foundations of Algebraic Geometry). Service 2021 Video conference assistant, Coordinated with speakers and set up technical equiptment to ensure the hybrid workshop ran smoothly, Explicit methods in number theory workshop, Mathematisches Forschungsinstitut Oberwolfach. 2021 Video conference assistant, Coordinated with speakers and set up technical equiptment to ensure the hybrid workshop ran smoothly, Classical algebraic geom- etry workshop, Mathematisches Forschungsinstitut Oberwolfach. 2019 Assistant for AMS Mathematics Research Community on Explicit Methods in Characteristic p, Organized two study groups, took notes on talks and panels, and helped write a summary report. 2018-2021 Reviewer for Math Reviews. Referee, for International Mathematics Research Notices, Manuscripta Mathemat- ica, Research in the Mathematical Sciences. Research Programs 2015-2016 Harvard University Senior Thesis, Researcher. Senior thesis on interpolation in algebraic geometry Adviser: Joe Harris Coadviser: Anand Patel 2015, 2016 Emory University REU, Researcher. Solved open questions in algebraic geometry and arithmetic geometry Adviser: David Zureick-Brown 2014 University of Minnesota, Twin Cities REU, Researcher. Collaborated with fellow students to solve three algebraic combinatorics problems Adviser: Vic Reiner Industry 2014-2015 Kensho Technologies, Software Engineer Intern. Developed tools to predict and analyze the effects of economic indicator and earnings report releases Coded in python, interacting with intraday data, large databases, and statistical techniques 2013 Jane Street Capital, Trader Intern. Wrote programs to examine the type of volatility of a stock and implemented new models to price options Used techniques from Algorithms and Analysis to write efficient code in OCaml and Mathematica Computer skills
Q [email protected] • web.stanford.edu/∼aaronlan Citizenship: US Citizen 7/8 Proficient Python, LATEX, MAGMA Experienced OCaml, Java Familiar C++, Mathematica, Matlab, VBA
Q [email protected] • web.stanford.edu/∼aaronlan Citizenship: US Citizen 8/8