I am mostly interested in number theory and algebra. I studied number theory (automorphic forms) under the guidance of Professor Freydoon Shahidi as my PhD at Purdue, whereas in Prague it was rather algebra, mostly the theory of semirings. My Bachelor's and Master's theses are about them.
During Fall 2014 I'll be a postdoc at the Max Planck Institute in Bonn, then I'll continue for 2 years at the University of GĂ¶ttingen.
My work is on automorphic forms, a modern area of number theory. My PhD thesis problem is related to the Weyl's Law that gives the asymptotics for the number of automorphic forms in terms of their Laplacian eigenvalue. Using properties of functorial descent (and other things, for example the notion of depth of a local representation), I prove a similar upper bound on the number of selfdual cuspforms on GL_n(A_Q). I have also been working on the relation between local descent and depth and plan to work more on this and other related problems in the future.
A poster presentation on the Langlands program and my work (primarily for nonmathematicians) for the International Fulbright Science and Technology Conference in 2012 is here.
V. Kala: Density of SelfDual Automorphic Representations of GL_n(A_Q), 2014, PhD thesis, advisor F. Shahidi
V. Kala: Simple semirings, 2009, Master's thesis (Mgr.), advisor T. Kepka
V. Kala: Simple semirings, 2007, graduation thesis (Bc.), advisor T. Kepka
V. Kala: Prvociselne vzorce (Primegenerating functions), 2004, high school graduation thesis, supervisor R. Kucera
Please email me if you are interested in copies or preprints of my theses and papers.

J. Berg, A. Castillo, R. Grizzard, V. Kala, R. Moy, C. Wang: Congruences for Ramanujan's f and omega functions via generalized Borcherds products, Ramanujan Journal, accepted.
J. Jezek, V. Kala, T. Kepka: Finitely generated algebraic structures with various divisibility conditions, Forum Math. 24 (2012), pp. 379  397.
V. Kala, M. Korbelar: Congruence simple subsemirings of Q^+, Semigroup Forum 81 (2010), pp. 286  296.
A. Drapal, C. Hamalainen, V. Kala: Latin bitrades, dissections of equilateral triangles and abelian groups, J. Comb. Des. 18 (2010), pp. 1  24.
V. Kala, T. Kepka, P. Nemec: Norms on semirings I, Acta Univ. Carolin. Math. Phys. 51 (2010), pp. 29  48.
V. Kala, T. Kepka: Commutative parasemifields finitely generated as semirings, Acta Univ. Carolin. Math. Phys. 51 (2010), pp. 49  56.
V. Kala, T. Kepka, M. Korbelar: Notes on commutative parasemifields, Comment. Math. Univ. Carolin. 50 (2009), pp. 521  533.
V. Kala, A. D. Keedwell: Addendum to "The existence of Buchsteiner and conjugacyclosed quasigroups", Europ. J. Combin. 30 (2009), p. 1386.
V. Kala, T. Kepka, M. Korbelar, J. D. Phillips: Various subsemirings of the field Q of the rational numbers, Acta Univ. Carolin. Math. Phys. 50 (2009), pp. 29  59.
V. Kala, T. Kepka: A note on finitely generated idealsimple commutative semirings, Comment. Math. Univ. Carolin. 49 (2008), pp. 1  9.
V. Flaska, A. Jancarik, V. Kala, T. Kepka: Trees in commutative nilsemigroups of index two, Acta Univ. Carolin Math. Phys. 48 (2007), pp. 81  101.
MA 223, Spring 2014 MWF 1.30, 2.30 in PHYS 338
Class Field Theory (twoweek intensive course)  spring 2010/2011
Number Theory and RSA (lecture and recitation)  spring 2008/2009
Number Theory and RSA (recitation)  spring 2007/2008
Number Theory and RSA (recitation)  spring 2006/2007
Number Theory and RSA (recitation)  spring 2005/2006
Number Theory Proseminar  spring 2007/2008
Number Theory Proseminar  spring 2006/2007
Algebra Recitation  spring 2008/2009
Fundamentals of Algebra (recitation)  fall 2007/2008
My email adress is vita.kala, the server is gmail com.
