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Dr Anna Romanov

Dr Anna Romanov

Lecturer

2018 PhD in Mathematics, University of Utah (supervisor Dragan Milicic)

2011 Bachelor of Science in Mathematics (honours), Colorado State University (supervisor Jeff Achter)

2011 Bachelor of Art in Language, Literature and Culture (specialization Spanish), Colorado State University听

Science
School of Mathematics & Statistics

I am a lecturer in the School of Mathematics and Statistics.

Before this, I was a National Science Foundation Postdoctoral Fellow at the University of Sydney. I completed my PhD at the University of Utah in 2018.

For more information, see my .听听
E-mail
a.romanov@unsw.edu.au
Location
School of Mathematics and Statistics 黑料网大事记 Sydney Sydney NSW 2052 The Red Centre
  • Book Chapters | 2021
    Romanov A, 2021, 'Four examples of beilinson鈥揵ernstein localization', in Contemporary Mathematics, pp. 65 - 85,
    Book Chapters | 2020
    Romanov A; Taylor S, 2020, 'Lightning Introduction to Category O', in Bonet J (ed.), Introduction to Soergel Bimodules, Springer, pp. 271 - 292
  • Journal articles | 2025
    Bohun S; Romanov A, 2025, 'AN EXAMPLE OF THE JANTZEN FILTRATION OF A D-MODULE', Journal of the Australian Mathematical Society, 118, pp. 265 - 296,
    Journal articles | 2023
    Brown A; Romanov A, 2023, 'ERRATA TO 鈥淐ONTRAVARIANT FORMS ON WHITTAKER MODULES鈥 (Proc. Amer. Math. Soc. 149 (2021), pp. 37鈥52)', Proceedings of the American Mathematical Society Series B, 10, pp. 166 - 167,
    Journal articles | 2022
    Brown A; Romanov A, 2022, 'Contravariant pairings between standard Whittaker modules and Verma modules', Journal of Algebra, 609, pp. 145 - 179,
    Journal articles | 2021
    BROWN A; ROMANOV A, 2021, 'Contravariant forms on whittaker modules', Proceedings of the American Mathematical Society, 149, pp. 37 - 52,
    Journal articles | 2021
    Romanov A, 2021, 'A Kazhdan-Lusztig Algorithm for Whittaker Modules', Algebras and Representation Theory, 24, pp. 81 - 133,
    Journal articles | 2020
    Friedlander H; Grodzicki W; Johnson W; Ratcliff G; Romanov A; Strasser B; Wessel B, 2020, 'AN ORBIT MODEL FOR THE SPECTRA OF NILPOTENT GELFAND PAIRS', Transformation Groups, 25, pp. 859 - 886,
    Journal articles | 2020
    PEARSON F; ROMANOV A; SOLLER D, 2020, 'Finite gelfand pairs and cracking points of the symmetric groups', Rocky Mountain Journal of Mathematics, 50, pp. 1807 - 1812,

2018-2021 National Science Foundation Postdoctoral Research Fellowship (USA), Award No.听803059

My research is in geometric and categorical representation theory. One branch of my research program aims to understand algebraic properties of representations of Lie algebras using D-modules via Beilinson-Bernstein localisation. Another branch of my research program applies categorical and diagrammatic techniques to the study of real group representations.听

My Research Supervision

I have supervised or are currently supervising the following students:

  • Simon Bohun, Beilinson-Bernstein localization on base affine space (Honours 2023)

  • Victor Zhang,听 Diagrammatic categories in representation theory (Honours 2023)

  • Zach Leong,听 Unitary dual of SL(2,R) (Honours 2024)

  • Tasman Fell, Singular Soergel bimodules (research Masters, 2025)

  • Victor Zhang, Diagrammatic Lusztig-Vogan categories (primary supervisor, PhD 2027)

  • Daniel Dunmore, Module categories over Soergel bimodules听(primary supervisor, PhD 2027)

  • Thomas Dunmore, Quadratic fusion categories听(secondary supervisor, PhD 2027)

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My Teaching

2022 teaching:

  • Term 1: Modules and Representation Theory: Math 5735
  • Term 2: Mathematics 1A Algebra: Math 1231A

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2024 teaching:听

  • Term 1: Modules and Representation Theory: Math 5735

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