Spencer Leslie

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My name is Winston Spencer Leslie, and I always go by my middle name, Spencer.

I am a William W. Elliott Assistant Research Professor and NSF postdoctoral fellow at Duke University, where I am working with Jayce Getz. I graduated in 2018 from Boston College, where my advisor was Solomon Friedberg.


Contact Info

Department of Mathematics, Duke University
120 Science Drive
Durham, NC 27708
USA
Email:  lesliew[at]math[dot]duke[dot]edu
Office: 222 Physics Building


Research Interests

I am interested in representation theory, with emphases in automorphic, p-adic, and geometric representation theory. In particular, I enjoy thinking about:

  • Automorphic representations of reductive groups or their covers
  • Relative trace formulae and local harmonic analysis
  • (Generalized) Whittaker models and Whittaker functions
  • Geometric crystals, crystal graphs, and total positivity
  • Perverse and parity sheaves on flag varieties

Recently, I have been thinking about issues of stabilization for relative trace formulae associated to certain symmetric spaces.


Curriculum Vitae

To see my CV, click here!


Invited Talks

 •Algebraic Geometry-Representation Theory seminar, Weizmann Institute of Science, Rehovot, Israel (October 14, 2020), Click here for video.

 •HUJI-BGU Algebraic Geometry-Number Theory seminar, Hebrew University of Jerusalem, Jerusalem, Israel (April 27, 2020), Click here for slides.

•Number Theory seminar, University of Arizona, Tuscon, Arizona (March 3, 2020).

•Group, Lie, and Number Theory seminar, University of Michigan, Ann Arbor, Michigan (February 24, 2020).

•Automorphic forms and Arithmetic seminar, Columbia University, New York, New York (February 7, 2020).

Number Theory Seminar, Duke University, Durham, North Carolina (January 29, 2020).

Boston University/Keio University Workshop: Number theoryBoston University, Boston, Massachusetts (June 24-28, 2019).

Recent Developments in Automorphic Forms, University of Hawaii at Manoa in Honolulu, Hawaii (March 22-24, 2019).

Geometric methods in Representation Theory Seminar, University of North Carolina, Chapel Hill, North Carolina (January 25, 2019).

Number Theory Seminar, Duke University, Durham, North Carolina (November 14, 2018).

Automorphic forms on reductive groups and their covers: A conference in honour of Solomon Friedberg, ETH Zurich, Switzerland (June 25-28, 2018). Click here for slides.

32nd Automorphic Forms Workshop, Tufts University, Medford, Massachusetts  (March 19-22, 2018).

Junior Number Theory Days, Rutgers University-Newark, Newark, New Jersey (November 17-18, 2017).

Number Theory Seminar, Duke University, Durham, North Carolina (October 11, 2017).

Representation Theory Seminar, University of Massachusetts-Amherst, Amherst, Mass. (October 2, 2017).

Invited Graduate Student Speaker, Palmetto Number Theory Series (PANTS), University of Tennessee (Knoxville), Knoxville, Tennessee (September 16-17, 2017).

Special Session on Real-Analytic Automorphic Forms, University of North Texas, Denton, Texas (September 9-10, 2017).

• Number Theory Seminar, National University of Singapore, Singapore (August 10-17, 2017). (2 talks given)


Conferences Attended

 

(cancelled due to COVID-19) Relative Aspects of the Langlands Program, L-Functions and Beyond Endoscopy, CIRM, France, May 25-29, 2020.

(cancelled due to COVID-19) 5th Nisyros Conference on Automorphic Representations & Related TopicsNisyros Island, Greece (20–25 July, 2020)

Recent Developments in Automorphic Forms, University of Hawaii at Manoa in Honolulu, Hawaii (March 22-24, 2019).

Sphericity 2019, CIRM, Marseille, France (January 14-18, 2019).

On the Langlands program: Endoscopy and Beyond, National University of Singapore, Singapore (December 17, 2018-January 12, 2019).

Automorphic forms on reductive groups and their covers: A conference in honour of Solomon Friedberg, ETH Zurich, Switzerland (June 25-28, 2018).

32nd Automorphic Forms Workshop, Tufts University, Medford, Massachusetts  (March 19-22, 2018).

Junior Number Theory Days at Rutgers University-Newark, Newark, New Jersey (November 17-18, 2017).

Automorphic Forms, Mock Modular Forms and String Theory at Banff International Research Station (October 29-November 3, 2017).

Palmetto Number Theory Series (PANTS) at University of Tennessee (Knoxville), Knoxville, Tennessee (September 16-17, 2017).

Special Session on Real-Analytic Automorphic Forms at University of North Texas, Denton, Texas (September 9-10, 2017).

Whittaker Functions: Number Theory, Geometry and Physics at Banff International Research Station (July 2016).

Automorphic Forms on Metaplectic Groups and Related Topics, at IISER Pune (July 2016).

Algebraic Groups, Quantum Groups and Geometry, at the University of Virginia (May 2016).

Eisenstein Series on Kac-Moody Groups and Applications to Physics, at the Korea Institute for Advanced Study (November 2015).

Representation Theory, Number Theory, and Invariant Theory, at Yale University (June 2015).

Building Bridges: 2nd EU/US Workshop on Automorphic Forms and Related Topics, at Bristol University (June 2014).

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Here is a photo of my wife and me from our wedding day!