nLab Ivan Mirković

Ivan Mirković is a professor of mathematics at the University of Massachusets at Amherst (diploma from Zagreb and Ph. D. under D. Miličić in Utah) with interests in geometric representation theory.

• personal page

• institute page

• arXiv page

Selected writings

On superalgebra and supergeometry (supermanifolds, integration over supermanifolds, supersymmetry, with attention signs in supergeometry, following Deligne & Morgan 1999):

• Ivan Mirković, Notes on Super Math, in Quantum Field Theory Seminar, lecture notes (2004) [pdf, pdf]

See also:

• R. Bezrukavnikov, I. Mirković, Representations of semisimple Lie algebras in prime characteristic and noncommutative Springer resolution, arXiv:1001.2562

• R. Bezrukavnikov, I. Mirković, D. Rumynin, Localization of modules for a semisimple Lie algebra in prime characteristic, With an appendix by Bezrukavnikov and Simon Riche. Ann. of Math. (2) 167 (2008), no. 3, 945–991, math.RT/0205144

• I. Mirković, K. Vilonen, Geometric Langlands duality and representations of algebraic groups over commutative rings, Ann. of Math. (2) 166 (2007), no. 1, 95–143.

• I. Mirković, K. Vilonen, Perverse sheaves on affine Grassmannians and Langlands duality, Math. Res. Lett. 7 (2000), no. 1, 13–24; alg-geom/9703010

• A. Braverman, D. Gaitsgory, M. Finkelberg, I. Mirković, Intersection cohomology of Drinfeld’s compactifications, Selecta Math. (N.S.) 8 (2002), no. 3, 381–418. and erratum in Selecta Math. (N.S.) 10 (2004), no. 3, 429–430, math.AG/0012129.

• S. Evens, I. Mirković, Characteristic cycles for the loop Grassmannian and nilpotent orbits, Duke Math. J. 97 (1999), no. 1, 109–126, doi

• J. Kamnitzer, Mirković-Vilonen cycles and polytopes, Ann. Math. 171 (2010), no. 1, 245–294, pdf

• Croatian wikipedia page