Education

Professional Appointments

Awards

Graduate Students and Postdocs

• Amir Baniamerian M.Sc. in Mathematics, January 2024 – present.
• Marco Talarico M.Sc. in Mathematics, September 2022 – present.
  Dissertation title: Hecke algebra modules and q-specht polynomials.
• Allan Merino Postdoctoral fellow, July 2021 –June 2023.
  Next position: Assistant Professor, Simmons University.
• Ali Assem Mahmoud Postdoctoral fellow, September 2020 –August 2021.
  Next position: Postdoctoral fellow, IQC, University of Waterloo.
• Mitra Mansoori Ph.D. in Mathematics, September 2019 – present.
  Dissertation title: An algebraic approach to sphericity on supersymmetric spaces.
• Manal Al-Zahrani Ph.D. in Mathematics, January 2019 – December 2023.
  Dissertation title: Polynomial-like behaviour of the faithful dimension of p-groups.
  Next position: Assistant Professor, IAU, Saudi Arabia.
• Mengyuan Cao Ph.D. in Mathematics, September 2018 – December 2022.
  Next position: Researcher at Shenzhen Stock Exchange, China.
  Dissertation title: The refined solution to the Capelli eigenvalue problem for gl(m|n)⊕gl(m|n) and gl(m|2n).
• Dene Lepine M.Sc. in Mathematics, September 2018 – August 2020.
  Dissertation title: Spherical harmonics and the Capelli eigenvalue problem for osp(1|2n).
  Next position: Doctoral student in mathematics, University of Waterloo.
• Wan-Yu Tsai Postdoctoral fellow, September 2018 – August 2019.
  Next position: Visiting Assistant Professor, National Tsing Hua University, Taiwan.
• Mengyuan Cao M.Sc. in Mathematics, September 2016 – August 2018.
  Dissertation title: Representation theory of Lie color algebras and its connection with Brauer algebras.
• Hayley Tomkins M.Sc. in Mathematics, September 2016 – July2018.
  Awards: NSERC Scholarship.
  Dissertation title: Alternative generators of the Zémor-Tilich hash function: a quest for freedom in projective linear groups.
  Next position: Program and Operations Analyst, Government of British Columbia.
• Mohammad Mohammadi Visiting PhD student from IASBS Zanjan, January 2017 – June 2017.
  Project title: The Gelfand-Naimark-Segal construction for unitary representations of (Z2)n-graded Lie supergroups.
• Nigel Redding M.Sc. in Mathematics, September 2015 – August 2017.
  Dissertation title: The convex hull of the highest weight orbit and the Carathéodory orbitope.
  Awards: OGS Scholarshop, NSERC Scholarship.
  Next position: Software developer, Zeligsoft.
• Hessah Alsubaie M.Sc. in Mathematics, January 2015 – May 2017.
  Project title: Attacks, provable security, and the Cramer-Shoup cryptosystem.
  Next position: Lecturer at Majmaah University, Saudi Arabia.
• Evans Clifford Boadi Master's Project, AIMS Senegal, Spring 2016.
  Dissertation title: Symmetric Polynomials, Combinatorics, and Mathematical Physics.
  Next position: Master's student in Mathematics, Brock University.
• Mohammad Bardestani Postdoctoral fellow, July 2015 – July 2016.
  Next position: Postdoctoral Fellow at the University of Münster, Germany.
• Camelia Karimianpour Ph.D. in Mathematics, September 2010 – December 2015.
  Dissertation title: The Stone-von Neumann Construction in Branching Rules and Minimal Degree Problems.
  Next position: Postdoctoral Assistant Professor at the University of Michigan.
• Poclaire Kenmogne AIMS HeadStart Initiative, September 2013 – May 2014.
  Next position: Doctoral student in Actuarial and Financial Mathematics, Université de Montréal.
• Nathan Manning Postdoctoral Fellow, July 2012 – July 2014.
  Next position: Lecturer, University of Maryland, College Park.
• Gabriel Bergeron–Legros M.Sc. in Mathematics, January 2013 – August 2014.
  Dissertation title: Weil representation and central extension of loop symplectic groups.
  Awards: NSERC CGS Scholarshop.
  Next position: Doctoral student in Mathematics, Yale University.
• Aleksandr Gontcharov M.Sc. in Mathematics, September 2011 – August 2013.
  Dissertation title: On the Conjugacy of Maximal Toral Subalgebras of Certain Infinite Dimensional Lie Algebras.
  Next position: Web Developer at BioTalent.
• Renaud Brien M.Sc. in Mathematics, Fall 2010 – August 2012.
  Dissertation title: Normal Forms in Artin Groups for Cryptographic Purposes.
  Next position: Doctoral student in Electrical Engineering, University of Ottawa.
• Sandeep Bhargava Postdoctoral Fellow, July 2008 – July 2009.
  Current position: Assistant Professor at Humber College, Toronto.

Undergraduate Students

• William Kennedy Honours Project, Winter 2024.
• Thomas Sabourin Funded RA, Summer 2023.
  Project title: Quantum Weyl algebras and polynomial modules of quantum groups.
• Kimberly Anne Breton USRA, Summer 2022.
  Project title: Symmetric polynomials, interpolation polynomials, and their positivity.
• Sarvagya Jain Mitacs Globalink, Summer 2022.
  Project title: Local operators in quantum computing and geometric problems about representations of SU(2)
• Nicolas Castro Work-Study, Winter 2021.
  Project title: Spherical designs, unitary designs, and quantum information theory.
• Havi Ellers Honours Thesis (Harvey Mudd), Sept 2019–Mar 2020.
  Project title: On the mysteries of interpolation Jack polynomials.
  Next position: Doctoral Student in Mathematics, University of Michigan, Ann Arbor.
• Havi Ellers FUSRP, Summer 2019.
  Project title: Representation theory of Lie algebras and beyond.
• Xiaomin Li FUSRP, Summer 2019.
  Project title: Representation theory of Lie algebras and beyond.
  Next position: Doctoral Student in Applied Mathematics, Harvard University.
• James Dickens NFRF Research Assistant, Summer 2019.
  Project title: Quantum computing algorithms for applied linear algebra.
  Next position: Master's student in computer science, University of Ottawa.
• Ekta Tiwari Mitacs Globalink, Summer 2019.
  Project title: Lie superalgebras and beyond: representation theory, enveloping algbras, and combinatorics.
  Next position: Doctoral Student in Mathematics, University of Ottawa.
• Kevin Anderson NSERC USRA, Summer 2019.
  Project title: Combinatorics of products of Macdonald polynomials.
• Shivang Jindal Mitacs Globalink, Summer 2018.
  Project title: Okounkov polynomials at special parameter values.
  Next position: M.Sc. ALGANT (Milan/Paris); Doctoral student in Mathematics, University of Edinburgh.
• Oliver Benning UROP, Winter 2018.
  Project title: Braid groups in public-key cryptography.
• Dene Lepine Work–Study, Summer 2017.
  Project title: Understanding quantum immanants and higher Capelli identities.
• David Bonsant Work–Study, Summer 2016.
  Project title: Solitaire 3.14: Computer programming and a variation of the game of Solitaire.
• Hermano Mariani Science without borders, Summer 2016.
  Project title: Minimal dimension of faithful representations of finite groups.
• Nuiok Dicaire Honours Project, Fall 2015.
  Project title: Supergeometry and Lie supergroups.
  Next position: Master's student, University of Calgary.
• Nigel Redding Research Assistant, Summer 2015.
  Project title: Harish-Chandra homomorphism.
  Next position: Master's student, University of Ottawa.
• Matthew Jordan FUSRP, Summer 2015.
  Project title: Heisenberg uncertainty in Fourier analysis, slides.
  Next position: Doctoral student in Physics, Oxford University.
• Recep Çelebi FUSRP, Summer 2015.
  Project title: Heisenberg uncertainty in Fourier analysis, slides.
  Next position: Doctoral student in Mathematics, Wesleyan University.
• Kirk Hendricks FUSRP, Summer 2015.
  Project title: Heisenberg uncertainty in Fourier analysis, slides.
• Aniket Joshi MITACS Globalink, Summer 2015.
  Project title: Superconformal algebras.
  Next position: Master's student, University of Alberta.
• Rabib Islam USRA, Winter 2015.
  Project title: From hyperbolic geometry to expander networks.
  Next position: Full-time Co-op student employment at the National Research Council.
• Edward Poon UROP, Fall 2014.
  Project title: A categorical approach to superdifferential operators.
• Jean-Simon Pacaud Lemay Honours Project, Fall 2014.
  Project title: A functorial approach to symmetric bilinear forms on superspaces.
  Next position: Master's student, University of Calgary.
• Vaibhav Karve MITACS Globalink, Summer 2014
  Project title: Superconformal current algebras.
  Next position: Doctoral student in Mathematics, University of Illinois, Urbana-Champaign.
• Christian Quirouette NSERC USRA, Summer 2014
  Project title: An uncertainty principle for finite groups of Heisenberg type.
• Christian Quirouette UROP, Winter 2014
  Project title: The Heisenberg group and uncertainty principle.
• Alexandre Girard Work–Study, Summer 2013
  Project title: Computer programming related to noncommutative groups and cryptography.
• Gail Bouchette Winter 2013
  Project title: The Beckman–Quarles theorem.
• Sakif Khan UROP, Fall 2012
  Next position: Master's student, University of Ottawa.
  Project title: Fundamental domains in hyperbolic geometry.
• Emilie Wheeler Honours Project, Fall 2012
  Project title: Methods of public-key cryptography.
  Next position: Master's student, Queen's University.
• Chris Delaney Work–Study, Summer 2012
  Project title: Computer programming related to geometry of root systems.
  Next position: Master's student, University of Ottawa.
• Yue Dong Work–Study, Summer 2012
  Next position: Master's student, University of Ottawa.
  Project title: Computer programming related to geometry of root systems.
• Gabriel Bergeron–Legros NSERC USRA, Summer 2012
  Project title: Representation theory and central extensions of super analogues of the Virasoro algebra.
• Matthew Tupper Honours Project, Fall 2011
  Project title: Representations of the Lie algebra sl(2) over polynomial spaces.
  Next position: M.Sc. in Economics, University of Ottawa.
• Christopher Farquhar Work–Study, Summer 2011
  Project title: Invariants of Cayley graphs of Weyl groups.
• Tahmid Syed Muhammed UROP, Fall 2011
  Project title: Affine Weyl groups and tessellations of Euclidean spaces.
• Tahmid Syed Muhammed Work–Study, Summer 2011
  Project title: Invariants of Cayley graphs of Weyl groups.
• Gabriel Bergeron–Legros NSERC USRA, Summer 2011
• Greg Paradis NSERC USRA, Summer 2011
• Travis Latam UROP, Winter 2011
• Sabrina Bernardi NSERC USRA, Summer 2009
  Next position: MMath in Computational Mathematics, University of Waterloo.
• Joel d'Alosio Outstanding Scholar (UWindsor), Winter 2009

Conference Organization

• University of Ottawa New Developments in Lie Superalgebras and Quantum Groups, Auguest 31–September 1, 2023.
• University of Ottawa Conference on Symmetric Spaces, Their Generalizations, and Special Functions, Auguest 18–21, 2022.
• Virtual Activity QRST Conference: Quantum groups, Representation theory, Superalgebras, and Tensor categories, August 20–23, 2020.
• University of Ottawa Conference on Lie Theory and Its Interactions with Geometry and Combinatorics, November 11–12, 2017.
• University of Ottawa Workshop on Hecke Algebras and Lie Theory, May 12–15, 2016.
• University of Ottawa Workshop on Representation Theory and Analysis on Lie Groups over Local Fields, May 7–10, 2015.
• University of Ottawa 73rd Algebra Day, May 27, 2014.
• CMS Winter Meeting  Harmonic Analysis on Groups over Local Fields, Ottawa, ON, December 6–9, 2013.
• University of Ottawa 68th Algebra Day, April 9, 2011.
• Fields Institute Workshop on Lie Theory and Quantization, Toronto, ON, February 25–27, 2011.
• University of Ottawa 3rd Lie Day, April 23, 2010.
• CMS Winter Meeting  Special Session on Lie Groups and Automorphic forms, Windsor, ON, December 5–7, 2009.

Selected Talks

August 2023 Canada–Mexico–US Conference in Representation Theory, Noncommutative Algebra, and Categorification, CRM, Montreal, Canada.
February 2023 New York Group Theory Seminar, CUNY Graduate Center, New York, NY.
February 2023 Séminaire du LACIM, UQAM, Montréal.
July 2022 ICM Section Overlay Conference on Representations and characters: revisiting some aspects of the works of Harish-Chandra and Weil, IMS, Singapore (hybrid format).
May 2021 STARS: Superalgebras Theory and Representations Seminar (Weizmann/Virtual).
March 2021 Representation Theory and Mathematics Physics Seminar (KSU/UTA/Virtual).
March 2021 Special Session on Superalgebras, quantum groups, and related topics, AMS Spring Southeastern Sectional Meeting (Georgia Tech/Virtual).
January 2020 7th Conference on Frontiers in Mathematical Sciences, IPM, Isfahan, Iran.
December 2019 Cybersecurity Seminar, University of York, York, UK.
October 2019 Lie Group/Quantum Mathematics Seminar, Rutgers University, Piscataway, NJ.
June 2019 Special Session on Representation Theory of Groups Defined Over Local Fields, CMS Summer Meeting, University of Regina, Regina, SK.
April 2019 Algebra seminar, University of Alberta, Edmonton, AB.
July 2018 Conference on Symmetries in Geometry, Analysis and Spectral Theory, University of Paderborn, Germany.
July 2018 Lie Groups Seminar, University of Erlangen-Nuremberg, Erlangen, Germany.
July 2018 Ottawa-Lyon-Sao Paolo Workshop on Representation Theory, Carleton University, Ottawa, ON.
August 2017 Minisymposium on Lie superalgebras, University of Ghent, Belgium.
July 2017 5th Conference on Frontiers in Mathematical Sciences, IPM, Tehran, Iran.
June 2017 Conference on Lie Theory and Its Applications in Physics, Varna, Bulgaria.
September 2016 50thSeminar Sophus Lie, Bedlewo, Poland.
June 2016 Conference on Algebra and Number Theory, Institut Camille Jordan, Lyon, France.
June 2016 Emmy Noether Seminar, University of Erlangen-Nuremberg, Erlangen, Germany.
May 2016 Conference on Infinite Dimensional Lie (Super)algebras and Their Representations, IPM, Isfahan, Iran.
December 2015 CMS Winter Meeting, Special Session on Representation Theory, Montréal, QC.
November 2015 Workshop on Lie Groups, Lia Algebras, and Their Representations, Louisiana State University, Baton Rouge, LA.
October 2015 Colloquium, University of Wisconsin, Madison, WI.
June 2015 Algebra Seminar, University of Bologna, Bologna, Italy.
June 2015 Lie Groups Seminar, University of Erlangen-Nuremberg, Erlangen, Germany.
February 2015 Infinite-dimensional Structures in Higher Geometry and Representation Theory, Center for Mathematical Physics, Hamburg, Germany.
January 2015 Lie Algebras Group Seminar, IPM, Isfahan, Iran.
December 2014 3rd Conference on Frontiers in Mathematical Sciences, Sharif University of Technology, Tehran, Iran.
December 2014 Lie Groups/Quantum Math Seminar, Rutgers University, Piscataway, NJ.
November 2014 Algebaic Geometry Seminar, Queen's University, Kingston, ON.
November 2014 Conference on Group Theory, Probability, and the Structure of Spacetime, UCLA, Los Angeles, CA.
October 2014 Lie Groups Seminar, University of Erlangen-Nuremberg, Erlangen, Germany.
April 2014 Conference on Algebra, Lie Groups, and Related Topics, American University of Beirut, Lebanon.
June 2013 Representation Theory XIII, Inter-University Centre, Dubrovnik, Croatia.
June 2013 Lie Groups Seminar, University of Erlangen-Nuremberg, Erlangen, Germany.
May 2013 Math and Physics Seminar, University of Cologne, Cologne, Germany.
March 2013 Conference on Geometric Methods in Infinite-Dimensional Lie Theory, Fields Institute, Toronto, ON.
January 2013 AMS Joint Mathematics Meetings, Special Session on Lie Algebras, Algebraic Transformation Groups, and Representation Theory, San Diego, CA.
December 2012 Conference on Frontiers of Mathematical Sciences in Honour of Siavash Shahshahani's Seventieth Birthday, Tehran, Iran.
August 2012 Workshop on Infinite Dimensional Lie Theory: Algebra, Geometry, and Combinatorics, Centre de Recherches Mathématiques (CRM), Montréal, QC.
March 2012 New York Algebra Colloquium, City University of New York (CUNY), Graduate Center, NewYork, NY.
September 2011 Minisymposium on Representation Theory of Lie Superalgebras, German Mathematical Society Annual Meeting, Cologne, Germany.
September 2011 AMS Fall Eastern Sectional Meeting, Special Session on Representations of Local and Global Groups, Cornell University, Ithaca, NY.
July 2011 42nd Seminar Sophus Lie, University of Erlangen-Nuremberg, Erlangen, Germany.
July 2011 Emmy Noether Seminar, University of Erlangen-Nuremberg, Erlangen, Germany.
May 2011 SFB Seminar: Supersymmetrien, University of Bochum, Bochum, Germany.
December 2010 CMS Winter Meeting, Special Session on p-adic Groups, Automorphic Forms, and Geometry, Vancouver, BC.
November 2010 Workshop on Infinite Dimensional Lie Theory, Mathematisches Forschunginstitut Oberwolfach (MFO), Oberwolfach-Walke, Germany.
November 2010 Colloquium, Department of Mathematics and Statistics, Queen's University, Kingston, ON.
July 2010 Workshop on Structure and Representations of Exceptional Groups, Banff International Research Station (BIRS), Banff, AB.
July 2010 Emmy Noether Seminar, University of Erlangen-Nuremberg, Erlangen, Germany.
June 2010 Lie Theory Seminar, University of Paderborn, Paderborn, Germany.
February 2010 Conference on Supersymmetry in Mathematics and Physics, UCLA, Los Angeles, CA.
March 2009 Geometric Representation Theory Seminar, University of Toronto, Toronto, ON.
January 2009 Colloquium, University of Ottawa, Ottawa, ON.
October 2008 AMS Fall Western Sectional Meeting, Special Session on p-adic Groups and Automorphic Forms, Vancouver, BC.
May 2008 Lie Groups Seminar, MIT, Cambridge, MA.
April 2008 Algebra Seminar, University of Pittsburgh, Pittsburgh, PA.
April 2008 Lie Groups/Quantum Math Seminar, Rutgers University, Piscataway, NJ.
Fall 2007 Algebra Seminar, University of Alberta, Edmonton, AB.
August 2007 Seminar on p-adic Groups and Modular Forms, Hausdorff Research Institute for Mathematics, Bonn, Germany.
February 2007 Colloquium, University of California, Riverside, CA.
February 2007 Colloquium, Texas A&M University, College Station, TX.
January 2007 AMS Joint Mathematics Meetings, Special Session on Theta Correspondence, New Orleans, LA.
December 2006 Algebra Seminar, Hokkaido University, Sapporo, Japan.
December 2006 Lie Groups and Representations Seminar, RIMS, Kyoto, Japan.
November 2006 Algebraic Geometry Seminar, Texas A & M University, College Station, TX.
October 2006 Colloquium, Oklahoma State University, Stillwater, OK.
March 2006 Lie Algebra Workshop, University of Ottawa, Ottawa, ON.
October 2005 Algebraic Geometry and Representation Theory Seminar, Kingston, ON.
March 2005 Geometric Representation Theory Conference, University of Arizona, Tucson, AZ.