Romyar SharifiMathematics · UCLA

Curriculum vitae

Romyar T. Sharifi

Department of Mathematics

University of California, Los Angeles

520 Portola Plaza

Los Angeles, CA 90095-1555

sharifi@math.ucla.edu

www.math.ucla.edu/~sharifi

On this page

Positions

  • 2016-
    University of California, Los Angeles, Professor
  • 2013-2016
    University of Arizona, Professor
  • 2009-2013
    University of Arizona, Associate Professor
  • 2007-2009
    McMaster University, Associate Professor
  • 2004-2007
    McMaster University, Assistant Professor
  • 2003-2004
    Max Planck Institute for Mathematics, Guest
  • 2001-2003
    Harvard University, NSF Postdoctoral Research Fellow
  • 2000-2001
    University of Arizona, NSF VIGRE Postdoctoral Research Fellow
  • 1999
    Mathematical Sciences Research Institute, Postdoctoral Fellow

Education

  • June 1999
    Ph.D. in Mathematics, The University of Chicago
  • August 1995
    S.M. in Mathematics, The University of Chicago
  • May 1994
    B.A. in Mathematics and Physics, University of California, Berkeley

Awards and fellowships

  • 2020
    Fellow of the American Mathematical Society
  • 2014-2015
    Simons Fellowship in Mathematics
  • 2005-2009
    Canada Research Chair in Number Theory, Tier II
  • 2001-2003
    NSF Mathematical Sciences Postdoctoral Research Fellowship

Grants

  • 2025-
    Simons Foundation, Travel Support for Mathematicians award
  • 2021-2025
    NSF Research Award DMS-2101889
  • 2018-2023
    NSF Research Award DMS-1801963 (supplement awarded in 2021)
  • 2015-2019
    NSF Award for the Arizona Winter School in Arithmetic Geometry (co-PI)
  • 2014-2018
    NSF Research Award DMS-1401122/1661658
  • 2014-2017
    NSF Focused Research Group Award DMS-1360583
  • 2014-2015
    NSA MSP Standard Grant
  • 2013-2016
    NSF Award for the Southwest Center for Arithmetic Geometry
  • 2010-2012
    NSF Award for Iwasawa 2010
  • 2009-2013
    NSF Research Award DMS-0901526
  • 2007-2008
    NSF Award for Summer School on Iwasawa Theory (co-PI)
  • 2006-2009
    Ministry of Research and Innovation, Ontario, Early Researcher Award
  • 2005-2009
    NSERC Discovery Grant

Short-term visits

  • Jan.-May 2023
    Simons Laufer Mathematical Sciences Institute (MSRI), Berkeley
  • Jan.-Mar. 2018
    Institute for Advanced Study, Princeton
  • Apr.-June 2015
    University of California, Los Angeles
  • Jan.-Feb. 2015
    University of Oxford
  • Oct.-Nov. 2014
    The University of Chicago
  • Aug.-Sept. 2014
    University of California, Berkeley
  • May-June 2010
    Institut des Hautes Études Scientifiques, Paris
  • July-Oct. 2009
    Isaac Newton Institute, Cambridge
  • May 07-Aug. 08
    The Fields Institute, Toronto
  • April 2007
    Univerisité de Caen
  • June 2006
    Institut des Hautes Études Scientifiques, Paris
  • Sept. 2005
    Le Centre de Recherches Mathématiques, Montréal
  • June-July 2005
    Max Planck Institute for Mathematics, Bonn
  • May-July 2002
    Universität Regensburg
  • May-July 2001
    University of Nottingham

Publications

  • Emmanuel Lecouturier, Romyar Sharifi, Sheng-Chi Shih, Jun Wang, Eisenstein cocycles for imaginary quadratic fields, submitted for publication, arXiv:2504.19125, 46 pages.
  • Takako Fukaya, Kazuya Kato, Romyar Sharifi, Toroidal compactifications of the moduli spaces of Drinfeld modules, arXiv:2008.13376v2, 109 pages.
  • Romyar Sharifi, An extension of the Fukaya-Kato method, J. Eur. Math. Soc. 28 (2026), 2877-2943.
  • Akshay Venkatesh, Romyar Sharifi, Eisenstein cocycles in motivic cohomology, Compos. Math. 160 (2024), 2407-2479.
  • Yeuk Hay Joshua Lam, Yuan Liu, Romyar Sharifi, Jiuya Wang, Preston Wake, Generalized Bockstein maps and Massey products, Forum Math. Sigma 11 (2023), 1-41.
  • Romyar T. Sharifi, Reciprocity maps with restricted ramification, Trans. Amer. Math. Soc. 375 (2022), 5361-5392.
  • Frauke Bleher, Ted Chinburg, Ralph Greenberg, Mahesh Kakde, Romyar Sharifi, and Martin Taylor, Exterior products in Iwasawa theory, J. Eur. Math. Soc. 24 (2022), 967-1005.
  • Frauke Bleher, Ted Chinburg, Ralph Greenberg, Mahesh Kakde, George Pappas, Romyar Sharifi, and Martin Taylor, Higher Chern classes in Iwasawa theory, Amer. J. Math. 142 (2020), 627-682.
  • Romyar Sharifi, Iwasawa theory: a climb up the tower, Notices Amer. Math. Soc. 66, no. 1 (2019), 16-26.
  • Takako Fukaya, Kazuya Kato, and Romyar Sharifi, Compactifications of S-arithmetic quotients for the projective general linear group, in Elliptic Curves, Modular Forms and Iwasawa Theory, In Honour of John H. Coates’ 70th Birthday, Springer Proc. Math. Stat. 188, Springer, 2016, 161-223.
  • Takako Fukaya, Kazuya Kato, and Romyar Sharifi, Modular symbols and the integrality of zeta elements, Ann. Math. Qué., Special Issue on the Occasion of the 60th Birthday of Glenn Stevens (Part II) 40 (2016), 377-395.
  • Takako Fukaya, Kazuya Kato, and Romyar Sharifi, Modular symbols in Iwasawa theory, in Iwasawa Theory 2012 - State of the Art and Recent Advances, Contrib. Math. Comput. Sci. 7, Springer, 2014, 177-219.
  • Romyar T. Sharifi, The reciprocity conjecture of Khare and Wintenberger, Inter. Math. Res. Not. IMRN 2014 (2014), 1409-1424.
  • Meng Fai Lim and Romyar T. Sharifi, Nekovář duality over p-adic Lie extensions of global fields, Doc. Math. 18 (2013), 621-678.
  • Romyar Sharifi, Galois module structure of local unit groups, Algebra Number Theory 7 (2013), 157-191.
  • Romyar Sharifi, A reciprocity map and the two-variable p-adic L-function, Ann. of Math. 173 (2011), 251-300.
  • Romyar T. Sharifi, Cup products and L-values of cusp forms, Pure Appl. Math. Quart. 5, Special Issue: In honor of Jean-Pierre Serre (2009), 339-348.
  • Romyar T. Sharifi, On Galois groups of unramified pro-p extensions, Math. Ann. 342 (2008), 297-308.
  • Romyar T. Sharifi, Iwasawa theory and the Eisenstein ideal, Duke Math. J. 137 (2007), 63-101.
  • Romyar T. Sharifi, Massey products and ideal class groups, J. reine angew. Math. 603 (2007), 1-33.
  • Yoshitaka Hachimori and Romyar T. Sharifi, On the failure of pseudo-nullity of Iwasawa modules, J. Alg. Geom. 14 (2005), 567-591.
  • William G. McCallum and Romyar T. Sharifi, A cup product in the Galois cohomology of number fields, Duke Math. J. 120 (2003), 269-310.
  • Romyar T. Sharifi, Relationships between conjectures on the structure of pro-p Galois groups unramified outside p, in Arithmetic Fundamental Groups and Noncommutative Algebra, Proc. Sympos. Pure Math. 70, Amer. Math. Soc., 2002, 275-284.
  • Romyar T. Sharifi, Determination of conductors from Galois module structure, Math. Z. 241 (2002), 227-245.
  • Romyar T. Sharifi, Minimal conductors of Kummer extensions by roots of unit elements, J. Ramanujan Math. Soc. 16 (2001), 101-117.
  • Romyar T. Sharifi, On norm residue symbols and conductors, J. Number Theory 86 (2001), 196-209.
  • Romyar T. Sharifi, Twisted Heisenberg representations and local conductors, Ph.D. thesis, The University of Chicago, 1999.
  • Romyar T. Sharifi, Ramification groups of nonabelian Kummer extensions, J. Number Theory 65 (1997), 105-115.
  • Romyar T. Sharifi, On cyclotomic polynomials, power residues, and reciprocity laws, Enseign. Math. 43 (1997), 319-336.

Invited conference talks

  • MPS Conference on the Eisenstein ideal and Galois representations: Looking forward after 50 years, May 2026.

  • Arithmetic, geometry, space and time: a workshop on the occasion of Minhyong Kim’s 61st birthday, ICMS, Edinburgh (virtual talk), Nov. 2024.

  • Periods in algebraic geometry and automorphic forms (2 lectures), Nisyros, Greece, July 2024.

  • Algebraische Zahlentheorie, Oberwolfach, Germany, June 2023.

  • Eisenstein series and equivariant cohomology, Regensburg, Germany (virtual meeting), July 2021.

  • Arithmetic quotients of locally symmetric spaces and their cohomology, CRM, Montréal, Quebec (virtual meeting), Oct. 2020.

  • Iwasawa 2019, Bordeaux, France, June 2019.

  • Eisenstein ideal and Iwasawa theory, Beijing, China, June 2019.

  • Advances in Iwasawa theory, AMS Special Session, Honolulu, Mar. 2019.

  • JHU-UMD Algebra and Number Theory Day, U. Maryland, Nov. 2018.

  • Special values of automorphic L-functions and associated p-adic L-functions, BIRS, Oaxaca, Mexico, Oct. 2018.

  • Arithmetic algebraic geometry — in honor the 60th birthday of Grzegorz Banaszak, Poznan, Poland, Aug. 2018.

  • Profinite monodromy, Galois representations, and complex functions, RIMS, Kyoto, Japan, May 2018.

  • Iwasawa theory and related topics, Heidelberg, Germany, May 2018.

  • Low dimensional topology and number theory X, Fukaoka, Japan, Mar. 2018.

  • Arizona Winter School 2018 on Iwasawa Theory (4 lectures), U. Arizona, Mar. 2018.

  • Automorphic Forms and Arithmetic, AMS Special Session, Atlanta, Jan. 2017.

  • Southern California Number Theory Day, UC Irvine, Oct. 2016.

  • 2016 Pan Asia Number Theory Workshop, Academica Sinica, Taipei, Taiwan, July 2016.

  • Bay Area Algebraic Number Theory and Arithmetic Geometry Day, UC Berkeley, Apr. 2016.

  • Palmetto Number Theory Series XXIV, Emory U., Sept. 2015.

  • AMS Summer Institute in Algebraic Geometry, U. Utah, July 2015.

  • Elliptic Curves, Modular Forms, and Iwasawa Theory – in honour of the 70th birthday of John Coates, Cambridge, Mar. 2015.

  • Arithmetic Algebraic Geometry, CMS Special Session, Hamilton, Ontario, Dec. 2014.

  • p-adic Modular forms, L-functions, and Galois Representations, UCLA, May 2013.

  • Iwasawa theory and Galois representations, U. Warwick, Apr. 2013.

  • Applications of Iwasawa algebras, BIRS, Banff, Canada, Mar. 2013.

  • L-functions and Arithmetic, Seoul, Korea, Oct. 2012 (3 lectures).

  • Iwasawa 2012, Heidelberg, Germany, July-Aug. 2012.

  • p-adic Modular Forms and Arithmetic – in honor of Haruzo Hida’s 60th birthday, UCLA, June 2012.

  • Pro-unipotent Fundamental Groups: Arithmetic and Diophantine Aspects, Bellairs Research Institute, Barbados, May 2012.

  • Cycles on Modular Varieties, BIRS, Banff, Canada, Oct. 2011.

  • Development of Galois-Teichmüller theory and anabelian geometry, RIMS, Kyoto, Japan, Oct. 2010.

  • Modular/Geometric Iwasawa Theory and p-adic L-functions, UCLA, June 2010 (3 lectures).

  • Southern California Number Theory Day, UCSD, March 2010.

  • Non-Commutative Algebra and Iwasawa Theory, ICMS, Edinburgh, Sept. 2009.

  • Non-Abelian Fundamental Groups in Arithmetic Geometry: Introductory Workshop, Isaac Newton Institute, Cambridge, July 2009.

  • IAS/Park City Mathematics Institute: Arithmetic of L-functions, Park City, Utah, July 2009.

  • Québec/Maine Number Conference on Number Theory, U. Laval, Oct. 2008.

  • Canadian Number Theory Association X Meeting, U. Waterloo, July 2008.

  • Conference in Honour of John Labute, Montreal, Nov. 2007.

  • Algebraische Zahlentheorie, Oberwolfach, Germany, June 2007.

  • Canadian Number Theory Association IX Meeting, UBC, Vancouver, July 2006.

  • Iwasawa 2006, Limoges, France, July 2006.

  • Pro-p Extensions of Global Fields and Pro-p Groups, Oberwolfach, Germany, May 2006.

  • Galois Theory in Arithmetic and Geometry, AMS Special Session, Durham, NH, Apr. 2006.

  • Field Extensions and Algorithms, AMS Special Session, San Antonio, Jan. 2006.

  • Open Questions and Recent Developments in Iwasawa Theory – in honor of Ralph Greenberg’s 60th birthday, Boston U., June 2005.

  • Arithmetic Algebraic Geometry, AMS Special Session, Atlanta, Jan. 2005.

  • Arithmetic Geometry, CMS Special Session, Montreal, Dec. 2004.

  • Weekend Workshop on Arithmetic and Geometry of Higher Dimensional Varieties, Fields Institute, Oct. 2004.

  • Iwasawa 2004, Besançon, France, July 2004.

  • Algorithms and Number Theory, Schloss Dagstuhl, Germany, May 2004.

  • Geometric Methods in Algebra and Number Theory, U. Miami, Dec. 2003.

  • The John H. Barrett Memorial Lectures: Recent Progress in Arithmetic and Algebraic Geometry, University of Tennessee-Knoxville, April 2002.

  • Arithmetic Aspects of Fundamental Groups, Maratea, Italy, Sept. 2001.

  • NoMaDS (Nottingham-Manchester-Durham-Sheffield) Meeting, Sheffield, July 2001.

  • Galois Theory and Explicit Methods, CIRM, Luminy, France, June 2001.

  • Field Theory and Arithmetic, St. Etienne, France, May 2001.

  • Number Theory with a Geometric Flavor, AMS Special Session, Las Vegas, April 2001.

  • Graduate and Postdoctoral Education in Arithmetic Geometry: The Arizona Winter School, AMS Special Session, New Orleans, Jan. 2001.

  • Galois Representations, AMS Special Session, Urbana-Champaign, May 1999.

  • Midwest Algebraic Number Theory Day, UIUC, March 1997.

  • Undergraduate Research, AMS Special Session, Eugene, June 1994.

External seminars and colloquia

  • 2026
    Boston College-MIT, Caltech, Michigan State (colloquium and seminar)
  • 2025
    VaNTAGe seminar (virtual), Columbia University
  • 2024
    Princeton-IAS, University of Maryland, McGill University, CRM Montreal (colloquium)
  • 2023
    SLMath (two seminars)
  • 2022
    UC San Diego (colloquium and seminar)
  • 2021
    Columbia-CUNY-NYU (virtual)
  • 2020
    University of Chicago, UC Berkeley (virtual)
  • 2019
    Harvard University, Arizona State (colloquium and seminar), Michigan State (colloquium), UC Santa Barbara (colloquium)
  • 2018
    Institute for Advanced Study (lecture series), Columbia-CUNY-NYU, University of Pennsylvania
  • 2017
    Stanford University
  • 2016
    University of Texas at Austin, Duke University
  • 2015
    UCLA (colloquium and seminar series), Caltech, UC San Diego
  • 2014
    University of Washington, Columbia University, UC Berkeley
  • 2013
    University of Oxford, Columbia University, Johns Hopkins University
  • 2012
    UCLA (colloquium and seminar), Arizona State (colloquium and seminar), Northwestern University, University of Chicago, University of British Columbia
  • 2011
    Northwestern University, University of Chicago
  • 2010
    University of Texas at Austin
  • 2009
    Institut de Mathématiques de Jussieu, University of Bristol, University of Birmingham, Stanford University, Arizona State (colloquium and seminar)
  • 2008
    McGill University, University of Arizona, Duke University, Cornell University
  • 2007
    Université de Franche-Comté, Université de Caen (seminar and lecture series)
  • 2006
    University of Rochester, University of Western Ontario (colloquium)
  • 2005
    McGill University, University of Western Ontario, Max Planck Institute for Mathematics, Ohio State University, UC San Diego, Rice University
  • 2004
    University of Notre Dame, University of Wisconsin, University of Illinois at Urbana-Champaign, McMaster University, Queen’s University, Boston University, Michigan State University, University of Virginia, Cambridge University, Universität Heidelberg, International University Bremen (colloquium)
  • 2003
    University of Washington, University of California at Irvine, UC Santa Barbara, Universität Göttingen
  • 2002
    Boston University, Columbia University, Brown University, Universität Regensburg, University of Arizona, UC Berkeley, Caltech, Amherst College, University of Massachusetts Amherst
  • 2001
    University of London, Nottingham University, University of Arizona, Brandeis

External service

  • 2022-
    Editor, Research in Number Theory
  • 2018-
    Member, Advisory Board, Arizona Winter School
  • 2014-2022
    Editor, Proceedings of the American Mathematical Society
  • 2007-2009
    Member, Research Committee, Canadian Mathematical Society

University service

  • 2024-2025
    Undergraduate Council Liaison to Academic Program Review Committee, UCLA Academic Senate
  • 2022-2025
    Member, Undergraduate Council, UCLA Academic Senate

Conference organization

  • Aug. 2027
    Organizer, Around modularity, on the occasion of Chandrashekhar Khare’s 60th Birthday, ICTS, Bangalore, India
  • July 2026
    Organizer, 2026 Nisyros Conference on Euler Systems, Nisyros, Greece
  • Dec. 2022
    Scientific Committee Member, PRIMA Congress 2022,

    Pacific Rim Mathematical Association, Vancouver, Canada

  • Mar. 2015-2018
    Organizer, Arizona Winter School, University of Arizona

    Scientific Organizer, AWS 2018 on Iwasawa Theory

    Funded by NSF award DMS-1504537 (co-PI)

    Additional funding from Clay Mathematics Institute 2016-18 (co-PI)

  • June 2016
    Organizer, New directions in Iwasawa theory,

    Banff International Research Station

  • Mar. 2013-2015
    Lead Organizer, Arizona Winter School, University of Arizona

    Funded by NSF award DMS-1161523 (PI)

  • Oct. 2011
    Primary Organizer, Workshop on Iwasawa Theory, University of Arizona

    Funded by NSF award DMS-1005225 (PI)

  • July 2010
    Organizer, Iwasawa 2010, University of Toronto

    Funded by the Fields Institute (co-PI) and NSF award DMS-1005225 (PI)

  • Dec. 2007
    Organizer, Special Session on Iwasawa Theory, CMS Winter Meeting
  • Aug. 2007
    Primary Organizer, Summer School in Iwasawa Theory, McMaster Univ.

    Funded by the Fields Institute (PI) and NSF award DMS-0646805 (co-PI)

  • June 2007
    Contact Organizer, Modular Forms: Arithmetic and Computation,

    Banff International Research Station

Research workshop participation

  • APAW Collaborative Research Workshop, Project Group Leader, U. Oregon, Aug. 2022.

  • Arizona Winter School 2018 on Iwasawa Theory, Project Group Leader, U. Arizona, Mar. 2018.

  • Arizona Winter School 2005 on Fundamental Groups in Arithmetic, Project Group Assistant, U. New Mexico, Mar. 2005.

  • Arizona Winter School 2002 on Periods, Project Group Assistant, U. Arizona, Mar. 2002.

Postdoctoral supervision

  • UCLA
    Niccolo’ Ronchetti, Chi-Yun Hsu, Kim Tuan Do, Peter Xu
  • U. Arizona
    Ashay Burungale
  • McMaster
    Dragos Ghioca, Byoung-Du Kim, Ming-Lun Hsieh, Mahesh Agarwal, Soroosh Yazdani

Graduate supervision

  • 2024
    Timothy Smits, Ph.D. Thesis, Eisenstein cocycles for powers of the multiplicative group, UCLA
  • 2023
    Frederick Vu, Ph.D. Thesis, A map in Sharifi’s conjecture for non-exceptional characters and tame level, UCLA
  • 2021
    Casey Fu, Ph.D. Thesis, Computing conductors of Kummer extensions via Galois module structure, UCLA
  • 2018
    Jun Wang, Ph.D. Thesis, Invariants of modular curves and Sharifi’s conjectures, University of Arizona
  • 2018
    Sheng-Chi Shih, Ph.D. Thesis, On congruence modules related to Hilbert Eisenstein series, University of Arizona
  • 2016
    Ronnie Scott Williams, Ph.D. Thesis, Level compatibility in the passage from modular symbols to cup products, University of Arizona
  • 2016
    Ding Ma, Ph.D. Thesis, Relations among multiple zeta values and modular forms of low level, University of Arizona
  • 2015
    Kevin Powell, Ph.D. Thesis, Modular symbols modulo Eisenstein ideals for Bianchi spaces, University of Arizona
  • 2015
    Matthew Lafferty, Ph.D. Thesis, Eichler-Shimura cohomology groups and the Iwasawa main conjecture, University of Arizona
  • 2012
    Dong Quan Nguyen, Ph.D. Thesis, Nonexistence of rational points on certain varieties, University of Arizona
  • 2011
    Richard Gottesman, M.S. Thesis, Some conductors of Kummer extensions of local fields, University of Arizona
  • 2010
    Meng Fai Lim, Ph.D. Thesis, Duality over p-adic Lie extensions of global fields, McMaster University
  • 2006
    Tara Davis, M.S. Thesis, Computations in Galois cohomology and Hecke algebras, McMaster University

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