Clifton Cunningham

Associate Professor; Associate Dean Graduate Studies

Department of Mathematics and Statistics


University of Toronto, 1997

Contact information

Web presence



Office : MS384


  • MATH 511 - Algebra III
  • MATH 607 - Algebra III
  • MATH 361 - Linear Spaces with Applications

Research and teaching

Research areas

  • Langlands programme
  • Algebraic and arithmetic geometry

Research Supervision

  • Currently accepting graduate students for Ph.D. and Masters program.
  • Currently accepting undergraduate students for research projects. 
  • Currently seeking to hire postdoctoral fellows.


Contact me by email for more information.



  • Cunningham, Clifton and Nevins, Monica. Ottawa Lectures on Admissible Representations of p-adic Groups Fields Institute Monograph Series, 2009. 207 pages. Print.

Books and monographs - peer reviewed

  • Cunningham, Clifton, Moussaoui, Ahmed, Mracek, James, Fiori, Andrew and Xu, Bin. Arthur packets for p-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples.  Memoirs of the American Mathematical Society, 2021. Print.

Conference proceedings

  • Aubert, A. and Cunningham, Clifton. An introduction to sheaves on adic spaces for {$p$}-adic group representation theory 46. 2002.
  • Cunningham, Clifton. Characters of depth-zero supercuspidal representations 1999.

Journal articles - peer reviewed

  • Cunningham, Clifton and Roe, David. "From the function-sheaf dictionary to quasicharacters of p-adic tori". Journal of the Institute of Mathematics of Jussieu 17.1 (2018): 1--37. Print.
  • Cunningham, Clifton and Achter, Jeffrey. "A note on L-packets and abelian varieties over local fields". Pacific Journal of Mathematics 273.2 (2015): 395--412. Print.
  • Cunningham, Clifton and Kamgarpour, Masoud. "Geometrization of continuous characters of $\mathbb{Z}_p^\times$". Pacific Journal of Mathematics 261.1 (2013): 95-99. Print.
  • Cunningham, Clifton, Gordon, Julia and Spice, Loren. "On the computability of some positive-depth characters near the identity". Representation Theory 15. (2011): 531--567. Print.
  • Cunningham, Clifton and Achar, Pramod. "Toward a Mackey formula for compact restriction of character sheaves". Contemporary Mathematics 543. (2010): 1--18. Print.
  • Cunningham, Clifton and Dembélé, Lassina. "Computation of genus 2 Hilbert-Siegel modular forms over Q(sqrt{5}) via the Jacquet-Langlands Correspondence". Experimental Mathematics 18.3 (2009): 337--345. Print.
  • Cunningham, Clifton and Gordon, Julia. "Motivic proof of a character formula for SL(2)". Experimental Mathematics 18.1 (2009): 11--44. Print.
  • Cunningham, Clifton. "Report from the Ambassador to Cida-2". College Mathematics Journal 39.5 (2008): 337--345. Print.
  • Cunningham, Clifton and Hales, Thomas. "Good Orbital Integrals". Representation Theory 8. (2004): 414--457. Print.
  • Cunningham, Clifton and Achter, Jeffrey. "Isogeny classes of Hilbert-Blumenthal abelian varieties over finite fields". Journal of Number Theory 92.2 (2002): 272--303. Print.
  • Cunningham, Clifton. "Characters of depth-zero, supercuspidal representations of the rank-2 symplectic group". Canadian Journal of Mathematics 52.2 (2000): 306--331. Print.

PhD thesis

  • Cunningham, Clifton. From perverse sheaves to Shalika germs: the characters of depth-zero supercuspidal representations of Sp(4) 1997.


  • Cunningham, Clifton and Roe, David. "Commutative character sheaves and geometric types for supercuspidal representations". Arxiv, (2017). Print.
  • Cunningham, Clifton and Dembélé, Lassina. "Lifts of Hilbert modular forms and application to a Conjecture of Gross". Arxiv, (2017). Print.

Technical papers / research reports

  • Cunningham, Clifton, Achar, Pramod, Kamgarpour, Massoud, Roe, David and Salmasian, Hadi. Geometrization of Smooth Characters (Banff International Research Station, Research in Pairs) 2011.
  • Cunningham, Clifton and Achar, Pramod. Geometrization of Smooth Characters (Mathematisches Forschungsinstitut Oberwolfach) 2011.
  • Cunningham, Clifton, Moeglin, Colette and Vinayak, Vatsal. L-packets (Banff International Research Station, 5-day workshop) 2011.