Michael Schlosser's Home Page
Dr. Michael J. Schlosser
_{X}
Fakultät für
Mathematik
Universität Wien
OskarMorgensternPlatz 1
A1090 Wien
Austria
telephone:

(+431) 427750455

fax:

(+431) 4277850455

email:


Aktuelle Lehre.
Current Teaching.
Sprechstunden nach Vereinbarung,
OMP1,
Zimmer 11.124
Office hours by appointment,
OMP1,
Room 11.124
Scientific publications (in reverse chronological order):
 Papers:

Combinatorial interpretations of Ramanujan's tau function
(jointly with Frank Garvan)
[14 pp., preprint]

Basic hypergeometric summations from rook theory (jointly with Meesue Yoo)
[12 pp., preprint]

Elliptic extensions of the alphaparameter model
and the rook model for matchings (jointly with Meesue Yoo)
[22 pp., preprint]

Elliptic hypergeometric summations by
Taylor series expansion and interpolation (jointly with Meesue Yoo)
[SIGMA
12 (2016), 039, 21 pp.]

An elliptic extension of the general product formula for augmented
rook boards (jointly with Meesue Yoo)
[Europ.
J. Combin. 58 (2016), 247266]

Elliptic rook and file numbers (jointly with Meesue Yoo)
[45 pp., preprint]

The major index generating function of standard Young tableaux of shapes
of the form "staircase minus rectangle" (jointly with
Christian
Krattenthaler)
[in Ramanujan 125 (K. Alladi
and F. Garvan, eds.),
Amer. Math. Soc.,
Providence, R. I., Contemp.
Math. 627 (2014), 111122]

On the work of Igor Frenkel (jointly with
John Duncan,
Pavel Etingof,
Ivan Ip,
Mikhail Khovanov,
Matvei Libine,
Anthony Licata, and
Alistair Savage)
[in Perspectives in Representation Theory
(P. Etingof,
M. Khovanov, and
A. Savage, eds.),
Amer. Math. Soc.,
Providence, R. I., Contemp.
Math. 610 (2014), 121]

Multiple hypergeometric series  Appell series and beyond
[in Computer Algebra in Quantum Field Theory:
Integration, Summation and Special Functions
(J. Blümlein and
C. Schneider, eds.),
Texts & Monographs in
Symbolic Computation,
SpringerVerlag,
Heidelberg/Vienna, 2013; pp. 305324]

On an identity by Chaundy and Bullard. II. More history
(jointly with
Tom H. Koornwinder)
[Indag.
Math. (N.S.) 24 (1) (2013), 174180]

New curious bilateral qseries identities
(jointly with
Frédéric
Jouhet)
[Axioms
2012, 1 (3), 365371]

A noncommutative weightdependent generalization of the binomial theorem
[23 pp., preprint]

Recurrence formulas for Macdonald polynomials of type A
(jointly with
Michel Lassalle)
[J.
Algebraic Combin. 32 (1) (2010), 113131]

Noncommutative hypergeometric and basic hypergeometric equations
(jointly with
Alessandro Conflitti)
[J.
Nonlinear Math. Phys. 17 (4) (2010), 429443]

Theta functions, elliptic hypergeometric series, and Kawanaka's Macdonald
polynomial conjecture (jointly with Robin Langer and
S. Ole Warnaar)
[SIGMA
5 (2009), 055, 20 pp.]

Multilateral inversion of A_{r},
C_{r} and D_{r}
basic hypergeometric series
[Ann.
Comb. 13 (2009), 341363]

On an identity by Chaundy and Bullard. I
(jointly with
Tom H. Koornwinder)
[Indag.
Math. (N.S.) 19 (2) (2008), 239261]

A Taylor expansion theorem for an elliptic extension
of the AskeyWilson operator
[in Special
Functions and Orthogonal Polynomials
(D. Dominici and
R. S. Maier, eds.),
Amer. Math. Soc.,
Providence, R. I., Contemp.
Math. 471 (2008), 175186]

A new multivariable _{6}ψ_{6} summation formula
[Ramanujan
J. 17 (3) (2008), 305319]

Curious extensions of Ramanujan's _{1}ψ_{1}
summation formula
(jointly with
Victor J. W. Guo)
[J. Math. Anal. Appl. 334 (1) (2007),
393403]

Macdonald polynomials and multivariable basic hypergeometric series
[Vadim
Kuznetsov Memorial Issue on Integrable Systems and Related
Topics,
SIGMA
3 (2007), 056, 30 pp.]

Elliptic enumeration of nonintersecting lattice paths
[J. Combin. Theory Ser. A 114 (3) (2007),
505521]

Some curious qseries expansions and beta integral
evaluations
(jointly with
George Gasper)
[Ramanujan
J. 13 (13) (2007), 229242]

Elliptic determinant evaluations and the Macdonald identities for affine
root systems
(jointly with
Hjalmar Rosengren)
[Compos. Math.
142 (4) (2006), 937961]

Noncommutative extensions of Ramanujan's
_{1}ψ_{1} summation
[Electron. Trans.
Numer. Anal. 24 (2006), 94102]

Summation formulae for noncommutative hypergeometric series
[35 pp., preprint]

Explicit computation of the q,tLittlewoodRichardson
coefficients
[Proceedings
of the Workshop on Jack,
HallLittlewood and Macdonald polynomials (V. Kuznetsov
and S. Sahi, eds.) Edinburgh, ICMS, Sept. 2326, 2003;
Contemp.
Math. 417 (2006), 335343]

Inversion of the Pieri formula for Macdonald polynomials
(jointly with
Michel Lassalle)
[Adv.
Math. 202 (2) (2006), 289325]

Summation, transformation, and expansion formulas for
multibasic theta hypergeometric series
(jointly with
George Gasper)
[Adv. Stud. Contemp. Math. (Kyungshang) 11 (2005), no. 1, 6784;
also in
Proceedings
of the Workshop Elliptic
Integrable Systems (M. Noumi
and K. Takasaki,
eds.) Kyoto,
RIMS, 2004;
Rokko Lectures
in Mathematics 18 (2005), 117]

Another proof of Bailey's _{6}ψ_{6} summation
(jointly with
Frédéric
Jouhet)
[Aequationes
Math. 70 (12) (2005), 4350]

On Warnaar's elliptic matrix inversion and KarlssonMintontype elliptic
hypergeometric series
(jointly with
Hjalmar Rosengren)
[J.
Comput. Appl. Math. 178 (2005), 377391]

AbelRothe type generalizations of Jacobi's triple product identity
[in Theory
and Applications of Special Functions. A Volume Dedicated to Mizan Rahman
(M. E. H. Ismail and
E. Koelink, eds.),
Dev.
Math. 13 (2005), 383400]

qAnalogues of the sums of consecutive integers, squares, cubes,
quarts and quints
[Electron. J. Combin.
11 (1) (2004), #R71, 12 pp.]

Some curious extensions of the classical beta integral
evaluation
[in Mathematics
and Computer Science, III (M. Drmota,
P. Flajolet,
D. Gardy,
B. Gittenberger, eds.)
Vienna, 2004; Trends
Math., Birkhäuser, Basel, 2004, pp. 5968]

An analytic formula for Macdonald polynomials
(jointly with
Michel Lassalle)
[C.
R. Math. Acad. Sci. Paris 337 (9) (2003), 569574]

Summations and transformations for multiple basic and
elliptic hypergeometric series by determinant evaluations
(jointly with
Hjalmar Rosengren)
[Indag.
Math. (N.S.) 14 (2003), 483514]

A nonterminating _{8}φ_{7} summation for the root system
C_{r}
[J.
Comput. Appl. Math. 160 (2003), 283296]

Inversion of bilateral basic hypergeometric series
[Electron. J. Combin.
10 (2003), #R10, 27 pp.]

A multidimensional generalization of Shukla's
_{8}ψ_{8} summation
[Constr.
Approx. 19 (2003), 163178]

Elementary derivations of identities for bilateral basic hypergeometric
series
[Selecta
Math. (N.S.) 9 (2003) 1, 119159]

A new A_{n} extension of Ramanujan's
_{1}ψ_{1}
summation with applications to multilateral basic hypergeometric
series (jointly with
Stephen C. Milne)
[in Special Functions 2000
(J. Bustoz and
S. K. Suslov, eds.),
Rocky Mount. J. Math. 32 (2) (2002), 759792]

A simple proof of Bailey's verywellpoised
_{6}ψ_{6} summation
[Proc.
Amer. Math. Soc. 130 (2002), 11131123]

Multilateral transformations of qseries with quotients of parameters
that are nonnegative integral powers of q
[in qSeries
with Applications to Combinatorics, Number Theory, and Physics
(B. C. Berndt and
K. Ono, eds.),
Amer. Math. Soc.,
Providence, R. I., Contemp.
Math. 291 (2001), 203227]

A new multidimensional matrix inversion in A_{r}
[in qSeries from a Contemporary Perspective
(M. E. H. Ismail and
D. Stanton, eds.),
Amer. Math. Soc.,
Providence, R. I., Contemp.
Math. 254 (2000), 413432]

Summation theorems for multidimensional basic
hypergeometric series by determinant evaluations
[Discrete
Math. 210 (2000), 151169]

Some new applications of matrix inversions in A_{r}
[Ramanujan
J. 3 (1999), 405461]

A new multidimensional matrix inverse with applications to multiple
qseries (jointly with
Christian
Krattenthaler)
[(H. W. Gould Anniversary Volume)
Discrete
Math. 204 (1999), 249279; selected to be included in
Discrete
Math., spec. vol. ``Editors' Choice, Edition 1999'']

Multidimensional matrix inversions and multiple basic hypergeometric
series associated to root systems
[in Special
functions and differential equations
(K. Srinivasa Rao,
R. Jagannathan,
G. Vanden Berghe, and
J. Van der Jeugt, eds.),
Proceedings of a workshop, WSSF '97, Madras, India, January 1324, 1997;
Allied Publ., New Delhi (1998), 2530]

C_{n} and D_{n} verywellpoised
_{10}φ_{9}
transformations (jointly with Gaurav Bhatnagar)
[Constr.
Approx. 14 (1998), 531567]

Multidimensional matrix inversions and
A_{r} and D_{r}
basic hypergeometric series
[Ramanujan
J. 1 (1997), 243274]

Multidimensional matrix inversions
[Sém. Lothar. Combin.
35 (1995), B35g, 24 pp.]
 Books edited:

Ramanujan
Rediscovered (jointly with
N. D. Baruah,
B. C. Berndt,
S. Cooper and
T. Huber),
Proceedings of a Conference on Elliptic Functions, Partitions, and
qSeries in Memory of K. Venkatachaliengar, Bangalore (15 June, 2009);
Ramanujan Mathematical Society
Lecture Notes Series,
Vol.
14, 2010 (also published by International Press, Somerville, MA, USA, 2012)
Editorial boards:
Postdocs:
 Current:
 Past:
 Meesue Yoo
 Alessandro Conflitti
Ph.D. students:
 Current:
 Koushik Senapati
 Zsófia Kereskényiné Balogh
 Past:
Events:
Curiosities:

Would you like to see me
lose
against one of today's best players of the world?
However, I am (or was) also able to win games
here and
there.