Since August 2023, I am assistant teaching professor at Simmons University. Before arriving to Boston, I worked as a postdoctoral researcher at the University of Ottawa for two years and at the National University of Singapore for three years.
In my research, I am interested in representation theory of Lie groups, Howe’s correspondence, and its applications to studying some invariants attached to representations. More recently, I started working on a generalisation of Howe’s duality to Lie superalgebras and supergroups.
When I am not doing or teaching Mathematics, I like to run, play tennis and golf, watch sports on TV (mostly tennis and football; you guys call this soccer, I know!), travel, read comics, and eat (pomodoro pasta is my comfort food).
Education
- BS, MS and PhD in Pure Mathematics, University of Lorraine, Metz, France
Area of Expertise
- Representation of real reductive Lie groups
- Character Theory
- Theta Correspondence
- Invariant Theory
- Lie Superalgebras and Supergroups
- Character Varieties
What I Teach
- MATH118: Introduction to Statistics
- MATH123: Single Variable Calculus
- MATH323: Real Analysis
Publications/Presentations
Merino Allan; Salmasian Hadi. Classification and double commutant property for dual pairs in an orthosymplectic Lie supergroup. Submitted for publication.
Merino, Allan. Transfer of characters for discrete series representations of the unitary groups in the equal rank case via the Cauchy-Harish-Chandra integral. Int. Math. Res. Not. IMRN 2023, no. 8, 6845–6900.
Merino, Allan. Characters of irreducible unitary representations of U(n,n+1) via double lifting from U(1). Represent. Theory 26 (2022), 325–369.
Guérin, Clément; Liu, Gang; Merino, Allan. Dual pairs in the pin-group and duality for the corresponding spinorial representation. Algebr. Represent. Theory 24 (2021), no. 6, 1625–1640.
Merino, Allan. Transfer of characters in the theta correspondence with one compact member. J. Lie Theory 30 (2020), no. 4, 997–1026.
Merino, Allan. Characters of some unitary highest weight representations via the theta correspondence. J. Funct. Anal. 279 (2020), no. 8, 108698, 70 pp.
Merino Allan. Characters of Unitary Highest Weight Representations via Howe Correspondence and Rossmann-Duflo-Vergne formula, PhD Thesis.