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  1. Professor Radha Kessar
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Contact Information

Contact

Visit Professor Radha Kessar

E231, Drysdale Building

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Postal Address

City, University of London
Northampton Square
London
EC1V 0HB
United Kingdom

About

Background

Professor Kessar studied mathematics at Panjab University, India graduating with a Bachelor of Sciences in 1991.

She prepared her PhD at the Ohio State university, USA, under the supervision of Prof. Ronald Solomon.

After completing her PhD in 1995, Prof. Kessar held postdoctoral positions at Yale University and the University of Minnesota, and a Junior Research fellowship at University College, Oxford followed by a tenure track position at the Ohio State University. She joined City in 2012, from the University of Aberdeen.

Professor Kessar's research interests are in algebra, more specifically in the representation theory of finite groups. Besides her colleagues Professor Joseph Chuang and Professor Markus Linckelmann at City, Professor Kessar has collaborated with M. Aschbacher (Caltech), D.J. Benson (Aberdeen), C. Bonnafe (Montpellier), D. Craven (Birmingham), C. Eaton (Manchester), G. Hiss (Aachen), M. Holloway, T. Holm (Hanover), S. Koshitani (Chiba), B. Kulshammer (Jena), N. Kunugi (Tokyo), G. Malle (Kaiserslautern), R. Oliver (Paris 13), G.R. Robinson (Aberdeen), B. Sambale (Jena), R. Stancu (Amiens), M. Schaps (Bar-Ilan), and L. Valero-Elizondo (Morelia).

Qualifications

PhD Mathematics, The Ohio State University, 1995
MSc Mathematics, The Ohio State University, 1995
BSc (hons) Mathematics, Panjab University, 1991

Employment

09/2012 - to date City University London, Professor
08/2011 - 08/2012 University of Aberdeen, Professor
08/2007 - 07/2011 University of Aberdeen, Reader
09/2005 - 07/2007 University of Aberdeen, Senior Lecturer
10/2002 - 09/2005 The Ohio State University, Assistant Professor
10/1999 - 09/2002 University College, Oxford, Weir Junior Research Fellow
09/1997 - 06/1999 University of Minnesota,Visiting Assistant Professor
07/1996 - 06/1997 Yale University, Visiting assistant Professor
09/1995 - 06/1996 The Ohio State University, Lecturer

Other appointments

01/2008 - 06/2008 Mathematical Sciences Research Institute (MSRI), Invited Researcher
04/2005 - 05/2005 Université de Franche-Comté, Invited Professor

Membership of professional bodies

2008 London Mathematical Society, Representative for City University
2007 Edinburgh Mathematical Society, Ordinary Member

Research

Research interests

Representations of finite groups and associated areas of algebra.

Publications

Book

  1. Aschbacher, M., Kessar, R. and Oliver, B. (2011). Fusion Systems in Algebra and Topology. Cambridge University Press. ISBN 978-1-107-60100-0.

Chapter

  1. KESSAR, R. (2007). Introduction to block theory. In Geck, M., Testerman, D.M. and Thévenaz, J. (Eds.), Group Representation Theory Efpl Press. ISBN 978-0-8493-9243-6.

Conference Paper/Proceedings

  1. Chuang, J. and Kessar, R. On Perverse Equivalences and Rationality. 7th European Congress of Mathematics .

Journal Articles (47)

  1. Kessar, R. and Malle, G. (2016). Brauer's height zero conjecture for quasi-simple groups. Journal of Algebra . doi:10.1016/j.jalgebra.2016.05.010.
  2. Benson, D., Kessar, R. and Linckelmann, M. (2016). On blocks of defect two and one simple module, and Lie algebra structure of HH1. Journal of Pure and Applied Algebra . doi:10.1016/j.jpaa.2017.02.010.
  3. Kessar, R. and Malle, G. (2016). Lusztig induction and l-blocks of finite reductive groups. Pacific Journal of Mathematics, 279(1), pp. 269–298. doi:10.2140/pjm.2015.279.269.
  4. Kessar, R., Külshammer, B. and Linckelmann, M. (2015). Anchors of irreducible characters. Journal of Algebra . doi:10.1016/j.jalgebra.2015.11.034.
  5. Héthelyi, L., Kessar, R., Külshammer, B. and Sambale, B. (2015). Blocks with transitive fusion systems. Journal of Algebra, 424, pp. 190–207. doi:10.1016/j.jalgebra.2014.10.042.
  6. Kessar, R. and Malle, G. (2015). Lusztig induction and l-blocks of finite reductive groups. Pacific Journal of Mathematics, 279(1), pp. 269–298. doi:10.2140/pjm.2015.279.269.
  7. Kessar, R., Koshitani, S. and Linckelmann, M. (2015). On the brauer indecomposability of scott modules. Quarterly Journal of Mathematics, 66(3), pp. 895–903. doi:10.1093/qmath/hav010.
  8. Kessar, R. and Linckelmann, M. (2015). On the Castelnuovo-Mumford regularity of the cohomology of fusion
    systems and of the Hochschild cohomology of block algebras.
    Groups St. Andrews 2013, London Mathematical Society Lecture Note Series(422), pp. 324–330.
  9. Kessar, R., Koshitani, S. and Linckelmann, M. (2015). On symmetric quotients of symmetric algebras. Journal of Algebra, 442, pp. 423–437. doi:10.1016/j.jalgebra.2014.05.035.
  10. Kessar, R., Linckelmann, M. and Navarro, G. (2015). A characterisation of nilpotent blocks. Proceedings of the American Mathematical Society, 143(12), pp. 5129–5138. doi:10.1090/proc/12646.
  11. Eaton, C., Kessar, R. and Külshammer, B. (2014). Special section celebrating the 60th birthday of geoffrey robinson. Journal of Algebra, 398, pp. 312–313. doi:10.1016/j.jalgebra.2013.10.009.
  12. Eaton, C.W., Kessar, R., Külshammer, B. and Sambale, B. (2013). 2-blocks with abelian defect groups. .
  13. Kessar, R., Koshitani, S. and Linckelmann, M. (2012). Conjectures of Alperin and Broué for 2-blocks with elementary abelian defect groups of order 8. Journal fur die Reine und Angewandte Mathematik, (671), pp. 85–130. doi:10.1515/CRELLE.2011.162.
  14. Kessar, R. and Linckelmann, M. (2012). On the Hilbert series of Hochschild cohomology of block algebras. Journal of Algebra, 371, pp. 457–461. doi:10.1016/j.jalgebra.2012.07.020.
  15. Kessar, R. (2012). On isotypies between Galois conjugate blocks. Springer Proceedings in Mathematics, 10, pp. 153–162. doi:10.1007/978-1-4614-0709-6_7.
  16. Kessar, R. and Malle, G. (2011). Quasi-isolated blocks and Brauer's height zero conjecture. .
  17. Craven, D.A., Eaton, C.W., Kessar, R. and Linckelmann, M. (2011). The structure of blocks with a Klein four defect group. Mathematische Zeitschrift, 268(1-2), pp. 441–476. doi:10.1007/s00209-010-0679-4.
  18. Kessar, R. and Linckelmann, M. (2010). Bounds for Hochschild cohomology of block algebras. .
  19. Kessar, R. (2010). On blocks stably equivalent to a quantum complete intersection of
    dimension 9 in characteristic 3 and a case of the abelian defect group
    conjecture.
    . doi:10.1112/jlms/jdr047.

    [publisher’s website]

  20. Kessar, R., Kunugi, N. and Mitsuhashi, N. (2010). On saturated fusion systems and Brauer indecomposability of Scott
    modules.
    .
  21. Kessar, R. and Linckelmann, M. (2010). The graded center of the stable category of a Brauer tree algebra. Quarterly Journal of Mathematics, 61(3), pp. 337–349. doi:10.1093/qmath/han038.
  22. Kessar, R. and Linckelmann, M. (2010). On stable equivalences and blocks with one simple module. Journal of Algebra, 323(6), pp. 1607–1621. doi:10.1016/j.jalgebra.2010.01.006.
  23. Kessar, R. (2009). On duality inducing automorphisms and sources of simple modules in classical groups. Journal of Group Theory, 12(3), pp. 331–349. doi:10.1515/JGT.2008.081.
  24. Kessar, R. and Linckelmann, M. (2009). On two theorems of Flavell. Archiv der Mathematik, 92(1), pp. 1–6. doi:10.1007/s00013-008-2911-6.
  25. Kessar, R. and Linckelmann, M. (2008). ZJ-theorems for fusion systems. Transactions of the American Mathematical Society, 360(6), pp. 3093–3106. doi:10.1090/S0002-9947-08-04275-X.
  26. Kessar, R. and Stancu, R. (2008). A reduction theorem for fusion systems of blocks. Journal of Algebra, 319(2), pp. 806–823. doi:10.1016/j.jalgebra.2006.05.039.
  27. Benson, D. and Kessar, R. (2007). Blocks inequivalent to their Frobenius twists. Journal of Algebra, 315(2), pp. 588–599. doi:10.1016/j.jalgebra.2007.03.044.
  28. Bonnafé, C. and Kessar, R. (2007). On the endomorphism algebra of modular Gelfand-Graev representations. .
  29. Kessar, R. and Linckelmann, M. (2006). On blocks of strongly p-solvable groups. Archiv der Mathematik, 87(6), pp. 481–487. doi:10.1007/s00013-006-1826-3.
  30. Kessar, R. and Schaps, M. (2006). Crossover morita equivalences for blocks of the covering groups of the symmetric and alternating groups. Journal of Group Theory, 9(6), pp. 715–730. doi:10.1515/JGT.2006.046.
  31. Kessar, R. (2006). The Solomon system FSol(3) does not occur as fusion system of a 2-block. Journal of Algebra, 296(2), pp. 409–425. doi:10.1016/j.jalgebra.2005.09.026.
  32. Holm, T., Kessar, R. and Linckelmann, M. (2005). Blocks with quaternion defect group over a 2-adic ring: the case
    \tilde{A}_4.
    .
  33. Holloway, M. and Kessar, R. (2005). Quantum complete rings and blocks with one simple module. Quarterly Journal of Mathematics, 56(2), pp. 209–221. doi:10.1093/qmath/hah036.
  34. Hiss, G. and Kessar, R. (2005). Scopes reduction and Morita equivalence classes of blocks in finite classical groups II. Journal of Algebra, 283(2), pp. 522–563. doi:10.1016/j.jalgebra.2004.08.030.
  35. Kessar, R. (2004). Shintani descent and perfect isometries for blocks of finite general linear groups. Journal of Algebra, 276(2), pp. 493–501. doi:10.1016/j.jalgebra.2004.02.013.
  36. Kessar, R. (2004). A remark on Donovan's conjecture. Archiv der Mathematik, 82(5), pp. 391–394.
  37. Kessar, R. and Valero-Elizondo, L. (2004). Stable partitions and Alperin's weight conjecture for the symmetric groups in characteristic two. Boletin de la Sociedad Matematica Mexicana, 10(1), pp. 53–62.
  38. Kessar, R. and Linckelmann, M. (2003). A block theoretic analogue of a theorem of Glauberman and Thompson. Proceedings of the American Mathematical Society, 131(1), pp. 35–40. doi:10.1090/S0002-9939-02-06506-1.
  39. Kessar, R. (2002). Scopes reduction for blocks of finite alternating groups. Quarterly Journal of Mathematics, 53(4), pp. 443–454. doi:10.1093/qjmath/53.4.443.
  40. Kessar, R., Linckelmann, M. and Robinson, G.R. (2002). Local control in fusion systems of p-blocks of finite groups. Journal of Algebra, 257(2), pp. 393–413. doi:10.1016/S0021-8693(02)00517-3.
  41. Kessar, R. and Linckelmann, M. (2002). On blocks with frobenius inertial quotient. Journal of Algebra, 249(1), pp. 127–146. doi:10.1006/jabr.2001.9058.
  42. Chuang, J. and Kessar, R. (2002). Symmetric groups, wreath products, Morita equivalences, and Broué's abelian defect group conjecture. Bulletin of the London Mathematical Society, 34(2), pp. 174–184.
  43. Kessar, R. and Linckelmann, M. (2002). On perfect isometries for tame blocks. Bulletin of the London Mathematical Society, 34(1), pp. 46–54.
  44. Kessar, R. (2001). Source algebra equivalences for blocks of finite general linear groups over a fixed field. Manuscripta Mathematica, 104(2), pp. 145–162. doi:10.1007/s002290170036.
  45. Kessar, R. (2000). Equivalences for blocks of the weyl groups. Proceedings of the American Mathematical Society, 128(2), pp. 337–346.
  46. Hiss, G. and Kessar, R. (2000). Scopes reduction and Morita equivalence classes of blocks in finite classical groups. Journal of Algebra, 230(2), pp. 378–423.
  47. Kessar, R. (1996). Blocks and source algebras for the double covers of the symmetric and alternating groups. Journal of Algebra, 186(3), pp. 872–933. doi:10.1006/jabr.1996.0400.

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United Kingdom

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