Curriculum Vita of David Hansen

July 7, 2021

Personal data Date of birth: 3 March, 1988 U.S. Citizen

Employment Max Planck Institute for Mathematics, 2019-present Research Group Leader / W2 Professor

University of Notre Dame, 2018-2019 Assistant Professor

Columbia University, 2014-2018 J.F. Ritt Assistant Professor

Institut de Mathématiques de Jussieu, 2013-2014 Postdoctoral Researcher

Education Boston College, Ph.D. in Mathematics, 2013 Thesis: Overconvergent cohomology: theory and applications Advisor: Avner Ash

Brown University, B.A. in Mathematics with Honors, 2010

Papers and preprints (All papers and preprints available at http://www.davidrenshawhansen.com) 1. On the Kottwitz conjecture for local shtuka spaces, with T. Kaletha and J. Weinstein, submitted (2021) 2. Weakly de Rham complexes, submitted (2021)

1 3. The six functors for Zariski-constructible sheaves in rigid geometry, with B. Bhatt, submitted (2021) 4. On the supercuspidal cohomology of basic local Shimura varieties, submitted (2021) 5. Sheaﬁness criteria for Huber rings, with K. Kedlaya, submitted (2020) 6. Perfectoid Shimura varieties and the Calegari-Emerton conjectures, with C. Johansson, submitted (2020) 7. Perfectoid quotients of the Lubin-Tate tower, revisited,appendixtoapaperofC.Johansson and J. Ludwig Math. Annalen Vol. 380 Issue 2, pp. 80-89 8. Remarks on nearby cycles of formal schemes,preprint(2018) 9. Vanishing and comparison theorems in rigid analytic geometry Compositio Math. Vol. 156 Issue 2, pp. 299-324 10. On p-adic L-functions for Hilbert modular forms,withJ.Bergdall Memoirs of the AMS,toappear 11. Line bundles on rigid varieties and Hodge symmetry, with S. Li Math. Zeit.,Vol.296,pp.1777-1786 12. Degenerating vector bundles in p-adic Hodge theory J. Inst. Math Jussieu, to appear 13. Extensions of vector bundles on the Fargues-Fontaine curve,withC.Birkbeck,T.Feng,S. Hong, Q. Li, A. Wang and L. Ye J. Inst. Math. Jussieu, to appear 14. Moduli of local shtukas and Harris’s conjecture Tunisian J. Math.,toappear 15. Period morphisms and variations of p-adic Hodge structure, preprint (2016) 16. Quotients of adic spaces by ﬁnite groups Math. Res. Letters, to appear

17. On the GLn-eigenvariety and a conjecture of Venkatesh, with J. Thorne Selecta Math. Vol. 23 Issue 2, pp. 1205-1234 18. Iwasawa theory of overconvergent modular forms, I: Critical-slope p-adic L-functions,preprint (2016) 19. Overconvergent modular forms and perfectoid Shimura curves,withP.ChojeckiandC.Jo- hansson Documenta Math. Vol. 22, pp. 191-262 20. Universal eigenvarieties, trianguline Galois representations, and p-adic Langlands functoriality J. reine angew. Math. Vol. 2017 Issue 730, pp. 1-64

2 21. Minimal modularity lifting for GL2 over an arbitrary number ﬁeld Math. Res. Letters, to appear 22. Shimura lifts of half-integral weight modular forms arising from theta functions,withY.Naqvi. The Ramanujan Journal Vol. 17, No. 3.

Some papers in preparation 1. Families of perverse sheaves, with P. Scholze 2. Title undetermined,withP.Scholze 3. An enhanced six-functor formalism for diamonds, with D. Gulotta and J. Weinstein 4. Duality and the p-adic Jacquet-Langlands correspondence, with L. Mann

Awards and grants • Junior Faculty Teaching Excellence Award, Columbia University Math Department, 2016 • Donald J. White Teaching Excellence Award, Boston College, 2012 • David Howell Premium for Excellence in Mathematics, Brown University, 2010 • Josephine de Kármán Foundation Fellow, 2009-2010 • Barry M. Goldwater Scholar, 2008-2010

Talks and events *Upcoming †Unable to attend due to personal or family illness ‡Cancelled or rescheduled due to COVID-19

Invited Talks In Seminars and Colloquia: 2021: Arithmetic Monday (3 hours of lectures), UBonn (3 hoursoflectures)*,KIAS(4hoursof lectures)* 2020: Heidelberg, Stockholm 2019: UBonn, MPIM, London NT Seminar, Bielefeld, Essen, Cambridge, Amsterdam 2018: MSU, Columbia, Stony Brook, Berkeley, BU, UIUC, UChicago, UBonn, MPIM 2017: Harvard, McGill (QVNTS), UMichigan, Harvard/MIT Algebraic Geometry, Notre Dame, UIC 2016: UCSC, Stanford, BU, Columbia, Northwestern, UChicago, BC, UCSD 2015: Cambridge, UNC, Brown, Columbia, Brandeis, Princeton/IAS, Harvard 2014: Columbia, ENS Lyon, London NT Seminar, Oxford, Essen, BU, Johns Hopkins Pre-2014: Queen’s University, BC, Harvard, KU

3 Invited Talks At Conferences:

Transchromatic homotopy theory, Regensburg, August 2020‡ Rigid geometry and eigenvarieties, Vancouver, July 2020 ‡ International colloquium on arithmetic geometry, Mumbai, January 2020 Geometrization of the local Langlands correspondence, Montreal, May 2019 (4 hours of lectures) Algebra and number theory day, Johns Hopkins, April 2019 Arithmetic of Shimura varieties, Oberwolfach, January 2019 Pop-up conference in number theory, UIC, November 2018 Michael Rapoport 70th birthday conference, Bonn, October 2018 Galois representations, Heidelberg, July 2018 Spring lecture series & conference, University of Arkansas, April 2018 Summer school on modular forms,Padova,September2017† p-adic methods for Galois representations and modular forms, Barcelona, February 2017 Automorphic forms and arithmetic,AMSSpecialSessionattheJointMeetings,January2017 Shimura varieties, representation theory, and related topics,KyotoUniversity,November2016 Arithmetic geometry, Oberwolfach, August 2016 The p-adic Langlands program and related topics,IndianaUniversity,May2016 Southern California number theory day, UCSD, February 2016 Non-archimedean geometry and applications,Oberwolfach,December2015 Analytic number theory and its applications, Thessaloniki, July 2014 p-adic variation in number theory, BU, June 2014 Atkin memorial conference, UIC, May 2014 Journee arithmetique a Villeteneuse, Paris 13, February 2014 L-functions and Galois representations, UCLA, May 2013

Other invited events: Simons symposium on p-adic Hodge theory, Scotland, May 2022* Non-archimedean geometry, Oberwolfach, February 2022* Arbeitsgemeinschaft on derived Galois deformation rings, Oberwolfach, April 2020‡ Topological cyclic homology and arithmetic, Oberwolfach Seminar, October 2019 Guest of the “Arbeitsgruppe Arithmetische Algebraische Geometrie”, Bonn, November 2018 p-adic cohomology and arithmetic applications, Banﬀ, October 2017 Arizona Winter School on perfectoid spaces, Tucson, March 2017 Arbeitsgemeinschaft on geometric Langlands, Oberwolfach, April 2016†

Advising Ph.D. Students Axel Kölschbach (2019-present) David Linus Hamann (2019-present, joint with Chris Skinner)

4 Masters Students Bence Hevesi (2019-2020) Tobi Moektijono (2019-2020) Simon Schirrren (2019-2020)

Teaching At Notre Dame: Spring 2019: Calculus II; Graduate Algebra II Fall 2018: Calculus II

At Columbia: Spring 2018: Honors Math B; Number Theory and Cryptography (+2 independent reading courses) Fall 2017: Honors Math A (+1 independent reading course) Spring 2017: Honors Math B (+1 independent reading course) Fall 2016: Honors Math A; p-adic Hodge theory (+1 independent reading course) Spring 2016: Number Theory and Cryptography (+3 independentreadingcourses) Fall 2015: Calculus II; Intro to Higher Math (+1 independent reading course) Spring 2015: Number Theory and Cryptography (+1 independentreadingcourse) Fall 2014: Two sections of Calculus I

At BC: Fall 2011-Spring 2013: Four sections of Calculus I/II

Additional activities • Co-organizer of the Recent Advances in Modern p-Adic Geometry (RAMpAGe) virtual seminar, June 2020-present • Co-organizer for the Student Number Theory Seminar at Columbia, Spring 2015-Spring 2018. This was a learning seminar for graduate students focused on one important paper or topic each semester; we covered Scholze’s Berkeley course (Spring2015),p-adic L-functions (Fall 2015), the paper of Caraiani-Scholze (Spring 2016), Kato’s Euler system (Fall 2016), Faltings’s proof of the Mordell conjecture (Spring 2017), Hida theory (Fall 2017), and the local Langlands conjectures (Spring 2018). • Committee member for Columbia Ph.D. defense of Raju Krishnamoorthy (Advisor: Johan de Jong), April 2016

• Committee member for Columbia Ph.D. defense of Daniel Gulotta (Advisor: Eric Urban), March 2018 • Advisor for the senior honors thesis of Columbia undergraduate Thomas Alexander (“Sander”) Mack-Crane, Spring 2015

5 • Advisor for an REU project at Columbia (students: Kevin Choi,DavidHamann,Srikar Varadaraj, Xin Xu), Summer 2015 • Referee for Algebra & Number Theory, Annals of Math. Studies,Ann.Sci.Math.Quebec, Compositio Math., Inventiones Math., J. London Math. Soc., J. reine angew. Math., The Paris Book Project, Ramanujan J., J. Ramanujan Math. Soc., etc.

References • Avner Ash, Boston College ([email protected]) • Bhargav Bhatt, University of Michigan ([email protected]) • Michael Harris, Columbia University ([email protected]) • Barry Mazur, Harvard University ([email protected]) • Michael Thaddeus, Columbia University ([email protected]) (teaching reference) • Peter Scholze, Universität Bonn ([email protected]) • Sug Woo Shin, University of California, Berkeley ([email protected])