Joshua Lansky Professor Mathematics & Statistics
 Degrees
 Ph.D. in Mathematics, Harvard University
A.M. in Mathematics, Harvard University
Sc.B. in Mathematics and Physics, Brown University
 Languages Spoken
 English, French, Hebrew
 Favorite Spot on Campus
 SIS Building 2nd Floor Balcony
 Book Currently Reading
 City Songs and American Life, 1900–1950, by Michael Lasser
 Bio
 Dr. Lansky attended Brown University as an undergraduate. He graduated magna cum laude with Honors in 1993 with an ScB degree in mathematics and physics. He did his graduate study in mathematics at Harvard University, receiving an AM in 1995 and a PhD in 1998. He had postdoctoral positions at the University of Rochester (from 1998 to 2000) and the University of Toronto (from 2000 to 2001). From 2001 to 2004, he was an assistant professor at Bucknell University. Dr. Lansky has been a member of the American University Department of Mathematics and Statistics since 2004. His research interests lie in the representation theory of padic groups and automorphic forms. His current research centers on distinguished representations and liftings for padic and finite groups.
 See Also
 Department of Mathematics and Statistics
 For the Media
 To request an interview for a news story, call AU Communications at 2028855950 or submit a request.
Teaching
Fall 2020

MATH310 Linear Algebra

MATH415 Number Theory
Spring 2021

MATH403 Foundations of Mathematics

MATH416 Cryptography
Scholarly, Creative & Professional Activities
Grants and Sponsored Research
 National Security Agency Mathematical Sciences Program Grant, Liftings and Symmetric Spaces over padic Fields, September 2013August 2015
 National Science Foundation Grant, Focused Research Group Program, Characters Liftings, and Types: Investigations in padic Representation Theory, September 2009August 2013
 Faculty Research Award from the American University College of Ars and Sciences for the project Harmonic Analysis on padic Groups, May 2008–April 2009
 Consultant on National Security Agency Mathematical Sciences Program Young Investigator Grant H98230071002
PROFESSIONAL PRESENTATIONS
 Calculations of Hecke Algebra Actions on Spaces of Algebraic Automorphic Forms in the American Institute of Mathematics workshop Algorithms for Lattices and Algebraic Automorphic Forms, Palo Alto, California, May 2013.
 Liftings of Representations of Finite Reductive Groups in the conference Characters, Liftings, and Types II, Boulder Colorado, June 2011.
 Orthogonally Distinguished Tame Supercuspidal Representations of GL(n) in the Ben Gurion University Algebraic Geometry and Number Theory Seminar, March 2010.
 Tame Supercuspidal Representations of GL(n) in the American Mathematical Society Special Session on Harmonic Analysis and Representations of Reductive padic Groups, Joint Mathematics Meetings, San Francisco, California, January 2010.
 Liftings of Representations of Finite Groups with Applications to padic Base Change in the Oklahoma State University/University of Oklahoma Joint Automorphic Forms Seminar, November 2008.
 Liftings of Representations of Finite Groups with Applications to padic Base Change in the American Mathematical Society Special Session on Automorphic Forms: Representation Theory of padic and Adelic Groups, Chicago, Illinois, October 2007.
 Newforms for SL(2) and U(1,1) in the City University of New York Number Theory Seminar, March 2007.
 Shintani Lifting and Types in the American Mathematical Society Special Session on Number Theory, Storrs, Connecticut, October 2006.
 Base Change and KTypes for U(3) in the University of Maryland Lie Group and Representation Theory Seminar, December 2004.
 Base Change and KTypes for U(3) in the American Mathematical Society Special Session on Representation Theory of Reductive Groups, Evanston, Illinois, October 2004.
 Base Change for Unitary Groups at the Centre de Recherches Mathématiques Workshopon the Langlands Program and Its Applications, January 2003.
 KTypes and Base Change for U(3) in the Cornell University Lie Groups Seminar,November 2002.
 The Structure of the Spherical Hecke Ring and Double Coset Decompositionat the Centre de Recherches Mathématiques Workshop on Algebraic Modular Forms and Modular Forms modp, October 1998.
PROFESSIONAL SERVICES
 Organizer for the conference Characters, Liftings, and Types funded by a grant from the National Science Foundation FRG Program, held at American University in summer 2012
 Referee for International Mathematics Research Notices
 Referee for Representation Theory
 Referee for the Pacific Journal of Mathematics
 Referee for the Journal of the Ramanujan Mathematical Society
 Reviewer for Mathematical Reviews
 Reviewer for Zentralblatt Math
 Reviewer for W. H. Freeman & Company
MEDIA APPEARANCES
 Chosen to appear in the video Inspired Teaching, filmed for the 2009 Ann Ferren Teaching Conference, by the Center for Teaching Excellence at American University.
 Invited to contribute “A Proof That Zero Is Greater than 23,”www.wizznutzz.com (a Washington, DCbased humor website that chronicles the Washington Wizards NBA basketball team), April 2006.
Honors, Awards, and Fellowships
 Awarded the Morton Bender Prize, American University, 2010.
 Panelist at the American University Noontime Conversation, Reflections on Inspired Teaching, 2009.
 Chosen to appear in the video Inspired Teaching, filmed for the 2009 Ann Ferren Teaching Conference, by the Center for Teaching Excellence at American University.
 Selected to give the address at the annual banquet of the Bucknell University chapter of the Pi Mu EpsilonMathematical Society, 2004.
 Nominated for Professor of the Year, University of Rochester, 2000.
 Joseph Leonard Walsh Fund Award (Harvard University scholarship award), 1994–1998.
RESEARCH INTERESTS
Dr. Lansky's research interests lie in the representation theory ofpadic groups and automorphic forms. Past work has involved algebraic modular forms on various groups and their corresponding Galois representations, Artin Lfunctions and the Dedekind Conjecture, representations of parahoric Hecke algebras, and newforms for certain groups. He is currently studying liftings of representations of certain finite and padic groups, orthogonally distinguished supercuspidal representations of GL(n) with applications to the Shimura correspondence, and quantum mechanical entanglement.
SELECTED PUBLICATIONS
 An interpretation of the tame local Langlands correspondence for padicPGSp(4) from the perspective of real groups, with Moshe Adrian, Israel Journal of Mathematics, to appear.
 Lifting representations of finite reductive groups I: Semisimple conjugacy classes, with Jeffrey Adler, Canadian Journal of Mathematics, to appear.
 Distinguished tame supercuspidal representations and odd orthogonal periods, with Jeffrey Hakim, Representation Theory, 16 (2012), 276–316
 Distinguished supercuspidal representations of SL2, with Jeffrey Hakim, Harmonic analysis on reductive padic groups, 103–134, Contemporary Mathematics, 543, American Mathematical Society, Providence, RI, 2011.
 Klyachko models of padic special linear groups, with C. Ryan Vinroot, Proceedings of the American Mathematical Society,139(6) (2011), 2271–2279.
 Depthzero base change for ramified U(2,1), with Jeffrey Adler, Transactions of the American Mathematical Society,362(10) (2010), 5569–5599.
 Conductors and newforms for SL(2), with A. Raghuram, Pacific Journal of Mathematics, 231(1) (2007), 127–154.
 Depthzero base change for unramified U(2,1), with J. Adler, Journal of Number Theory, 114(2) (2005), 324–360.
 A variation on the solvable case of the Dedekind conjecture, with K. Wilson, Journal of the Ramanujan Mathematical Society, 20(2) (2005), 81–90.
 Conductors and newforms for U(1,1), with A. Raghuram, Indian Academy of Sciences. Proceedings. Mathematical Sciences, 114(3) (2004), 319–343.
 On the correspondence of representations between GL(n) and division algebras, with A. Raghuram, Proceedings of the American Mathematical Society, 131(2003), 1641–1648.
 Hecke algebras and automorphic forms, with D. Pollack, Compositio. Mathematica, 130(1) (2002), 21–48.
 Parahoric fixed spaces in unramfied principal series representations, Pacific Journal of Mathematics, 204(2) (2002), 433–443.
 Decomposition of double cosets in padic groups, Pacific Journal of Mathematics, 197(1) (2001), 97–117.
 A qanalog of Freudenthal's weight multiplicity formula, Indagationes Mathematicae, N.S., 11(1) (2000), 87–94.
WORK IN PROGRESS
 When is the WilcoxonMannWhitney procedure a test of location?, with Robert Jernigan and Scott Parker, submitted for publication.
 Lifting representations of finite reductive groups: A character relation, with Jeffrey Adler, Michael Cassel, Emma Morgan, and Yifei Zhao, submitted for publication.
 Lifting representations of finite reductive groups II: Explicit conorms, with Jeffrey Adler, article in preparation.
 Quasisemisimple actions of finite groups on padic groups and buildings, with Jeffrey Adler, article in preparation.
 Klyachko models of padic unitary groups, with Ryan Vinroot, article in preparation.