On the construction of semisimple Lie algebras and Chevalley groups Journal Article
In: Proc. Amer. Math. Soc., vol. 145, pp. 3233–3247, 2017.
Primitive prime divisors and the nth cyclotomic polynomial Journal Article
In: J. Aust. Math. Soc., vol. 102, no. 1, pp. 122–135, 2017, ISSN: 1446-7887.
Classical quasi-steady state reduction - A mathematical characterization Journal Article
In: Physica D: Nonlinear Phenomena, vol. 345, pp. 11-26, 2017.
Pruned double Hurwitz numbers Journal Article
In: Electron. J. Comb., vol. 24, no. 3, 2017, (P3.66).
Polynomial control systems: Invariant sets given by algebraic equations/inequations Proceedings Article
In: Proc. IFAC World Congress, Toulouse, France, 2017.
Irregular primes to two billion Journal Article
In: Math. Comp., vol. 86, no. 308, pp. 3031-3049, 2017.
A constructive approach to arithmetics in Ore localizations Proceedings Article
In: Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC' 17), pp. 197-204, ACM Press, 2017.
The Cayley trick for tropical hypersurfaces with a view toward Ricardian economics Proceedings Article
In: Conca, Aldo; Gubeladze, Joseph; Römer, Tim (Ed.): Homological and Computational Methods in Commutative Algebra, 2017.
Monomial tropical cones for multicriteria optimization Online
2017, visited: 01.01.2017.
MatchTheNet - An Educational Game on 3-Dimensional Polytopes (Multimedia Contribution) Proceedings Article
In: Aronov, Boris; Katz, Matthew J (Ed.): 33rd International Symposium on Computational Geometry (SoCG 2017), pp. 66:1–66:5, Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik, Dagstuhl, Germany, 2017, ISSN: 1868-8969.
Matroids from hypersimplex splits Journal Article
In: J. Combin. Theory Ser. A, vol. 151, pp. 254–284, 2017, ISSN: 0097-3165.
Local-global conjectures and blocks of finite simple groups Journal Article
In: Groups St Andrews 2017 in Birmingham, pp. 70-105, 2017.
Lifting endo-p-permutation modules Journal Article
In: Archiv der Mathematik, vol. 110, no. 3, pp. 205–212, 2017, ISSN: 1420-8938.
Characters and Brauer trees of the covering group of 2E_6(2) Book Section
In: Finite simple groups: thirty years of the atlas and beyond, vol. 694, pp. 33–55, Amer. Math. Soc., Providence, RI, 2017.
Corrections to: "A Murnaghan-Nakayama rule for values of unipotent characters in classical groups'' Journal Article
In: Represent. Theory, vol. 21, pp. 1–3, 2017, ISSN: 1088-4165.
Absence of algebraic relations and of zero divisors under the assumption of full non-microstates free entropy dimension Journal Article
In: Adv. Math., vol. 304, pp. 1080–1107, 2017.
Gröbner Fans of underlinex-homogeneous Ideals in R[[t]][underlinex] Journal Article
In: J. Symbolic Computation, vol. 83, pp. 315–341, 2017.
Standard Bases in mixed Power Series and Polynomial Rings over Rings Journal Article
In: J. Symbolic Computation, vol. 79, pp. 119–139, 2017.
Free Probability and Random Matrices Book
Springer, 2017.
Cuspidal characters and automorphisms Journal Article
In: Adv. Math., vol. 320, pp. 887-903, 2017.
A constructive approach to Freyd categories Online
2017.
Induced modules of split Iwahori-Hecke algebras are reducible Journal Article
In: Arch. Math. (Basel), vol. 109, no. 2, pp. 117–121, 2017, ISSN: 0003-889X.
Computing S-unit groups of orders Online
2017.
Partition C*-algebras Online
2017.
Controlled invariance for nonlinear Roesser models Proceedings Article
In: Proc. 10th Int. Workshop on Multidimensional Systems (NDS), Zielona Gora, Poland, 2017.
Short Addition Sequences for Theta Functions Online Forthcoming
Forthcoming.
Refined algorithms to compute syzygies Journal Article
In: J. Symbolic Comput., vol. 74, pp. 308–327, 2016, ISSN: 0747-7171.
Rational rigidity for F_4(p) Journal Article
In: Adv. Math., vol. 302, pp. 48–58, 2016, ISSN: 0001-8708.
Computation of Kazhdan-Lusztig polynomials and some applications to finite groups Journal Article
In: arXiv e-prints, pp. arXiv:1610.07055, 2016.
A Murnaghan-Nakayama rule for values of unipotent characters in classical groups Journal Article
In: Represent. Theory, vol. 20, pp. 139–161, 2016, ISSN: 1088-4165.
Characters of odd degree Journal Article
In: Ann. of Math. (2), vol. 184, pp. 869-908, 2016.
Computing in arithmetic groups with Voronoi 's algorithm Journal Article
In: J. Algebra, vol. 435, pp. 263–285, 2015.
Moduli of tropical plane curves Journal Article
In: Res. Math. Sci., vol. 2, pp. Art. 4, 31, 2015, ISSN: 2522-0144.
Tate resolutions on products of projective spaces Journal Article
In: Acta Math.Vietnam., vol. 40, no. 1, pp. 5-36, 2015.
Harish-Chandra series in finite unitary groups and crystal graphs Journal Article
In: Int. Math. Res. Not., vol. 2015, no. 22, pp. 12206-12250, 2015.
Imprimitive irreducible modules for finite quasisimple groups Journal Article
In: Mem. Amer. Math. Soc., vol. 234, no. 1104, 2015.
Champ: a Cherednik algebra Magma package Journal Article
In: LMS J. Comput. Math., vol. 18, no. 1, pp. 266–307, 2015.
The deficiency of being a congruence group for Veech groups of origamis Journal Article
In: Int. Math. Res. Not. IMRN, no. 6, pp. 1613-1637, 2015, ISSN: 1073-7928.
Posets, tensor products and Schur positivity Journal Article
In: Algebra Number Theory, vol. 8, no. 4, pp. 933–961, 2014, ISSN: 1937-0652.
Computation of Galois groups of rational polynomials Journal Article
In: LMS J. Comput. Math., vol. 17, pp. 141–158, 2014.
Quantum Drinfeld Hecke Algebras Journal Article
In: Canad J Math, vol. 66, pp. 874–901, 2014.
Parallel algorithms for normalization Journal Article
In: Journal of Symbolic Computation, vol. 51, pp. 99–114, 2013, ISSN: 0747-7171.
Psi-floor diagrams and a Caporaso-Harris type recursion Journal Article
In: Israel J. Math., vol. 191, no. 1, pp. 405–449, 2012, ISSN: 0021-2172.
Improved techniques for computing the ideal class group and the unit group of a number field Proceedings Article
In: Kedlaya, Kiran S (Ed.): Proceedings of the ANTS-X conference, pp. 113-133, Mathematical Science Publishers, 2012.
Remarks on modular representations of finite groups of Lie type in non-defining characteristic Book Section
In: vol. 505, pp. 71–80, Amer. Math. Soc., Providence, RI, 2012.
Wall crossings for double Hurwitz numbers Journal Article
In: Adv. Math., vol. 228, no. 4, pp. 1894-1937, 2011, ISSN: 0001-8708.
Dessins d'enfants and origami curves Book Section
In: Handbook of Teichmüller theory. Vol. II, vol. 13, pp. 767-809, Eur. Math. Soc., Zürich, 2009.
Kontsevich's formula and the WDVV equations in tropical geometry Journal Article
In: Adv. Math., vol. 217, pp. 537-560, 2008.
Second order freeness and fluctuations of random matrices. III. Higher order freeness and free cumulants Journal Article
In: Doc. Math, pp. 1-70, 2007.
The Caporaso--Harris formula and plane relative Gromov-Witten invariants in tropical geometry Journal Article
In: Math. Ann., vol. 338, pp. 845–868, 2007.
The Caporaso–Harris formula and plane relative Gromov-Witten invariants in tropical geometry Journal Article
In: Math. Ann., vol. 338, pp. 845–868, 2007.
A comb of origami curves in the moduli space M_3 with three dimensional closure Journal Article
In: Geom. Dedicata, vol. 124, pp. 69-94, 2007, ISSN: 0046-5755.
Affine buildings and tropical convexity Journal Article
In: Albanian J. Math., vol. 1, no. 4, pp. 187–211, 2007, ISSN: 1930-1235.
Lectures on the combinatorics of free probability Book
Cambridge University Press, Cambridge, 2006.
An algorithm for finding the Veech group of an origami Journal Article
In: Experiment. Math., vol. 13, no. 4, pp. 459-472, 2004, ISSN: 1058-6458.
Sheaf cohomology and free resolutions over exterior algebras Journal Article
In: Trans. Amer. Math. Soc., vol. 355, no. 11, pp. 4397–4426, 2003.
Lattice chain models for affine buildings of classical type. Journal Article
In: Math. Ann., vol. 322, no. 3, pp. 537–562, 2002, ISSN: 0025-5831.
Invariants of orthogonal G-modules from the character table Journal Article
In: Experimental Math., vol. 9, no. 4, pp. 623–629, 2000, ISSN: 1058-6458.
Relative Normgleichungen Book
Dissertation, TU-Berlin, 1997.
CHEVIE - A system for computing and processing generic character tables Journal Article
In: Applicable Algebra in Engineering, Communication and Computing, vol. 7, pp. 175-210, 1996.
Minimal heights and defect groups with two character degrees Unpublished
0000.
All Publications (ordered by years)
2017
On the construction of semisimple Lie algebras and Chevalley groups Journal Article
In: Proc. Amer. Math. Soc., vol. 145, pp. 3233–3247, 2017.
Primitive prime divisors and the nth cyclotomic polynomial Journal Article
In: J. Aust. Math. Soc., vol. 102, no. 1, pp. 122–135, 2017, ISSN: 1446-7887.
Classical quasi-steady state reduction - A mathematical characterization Journal Article
In: Physica D: Nonlinear Phenomena, vol. 345, pp. 11-26, 2017.
Pruned double Hurwitz numbers Journal Article
In: Electron. J. Comb., vol. 24, no. 3, 2017, (P3.66).
Polynomial control systems: Invariant sets given by algebraic equations/inequations Proceedings Article
In: Proc. IFAC World Congress, Toulouse, France, 2017.
Irregular primes to two billion Journal Article
In: Math. Comp., vol. 86, no. 308, pp. 3031-3049, 2017.
A constructive approach to arithmetics in Ore localizations Proceedings Article
In: Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC' 17), pp. 197-204, ACM Press, 2017.
The Cayley trick for tropical hypersurfaces with a view toward Ricardian economics Proceedings Article
In: Conca, Aldo; Gubeladze, Joseph; Römer, Tim (Ed.): Homological and Computational Methods in Commutative Algebra, 2017.
Monomial tropical cones for multicriteria optimization Online
2017, visited: 01.01.2017.
MatchTheNet - An Educational Game on 3-Dimensional Polytopes (Multimedia Contribution) Proceedings Article
In: Aronov, Boris; Katz, Matthew J (Ed.): 33rd International Symposium on Computational Geometry (SoCG 2017), pp. 66:1–66:5, Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik, Dagstuhl, Germany, 2017, ISSN: 1868-8969.
Matroids from hypersimplex splits Journal Article
In: J. Combin. Theory Ser. A, vol. 151, pp. 254–284, 2017, ISSN: 0097-3165.
Local-global conjectures and blocks of finite simple groups Journal Article
In: Groups St Andrews 2017 in Birmingham, pp. 70-105, 2017.
Lifting endo-p-permutation modules Journal Article
In: Archiv der Mathematik, vol. 110, no. 3, pp. 205–212, 2017, ISSN: 1420-8938.
Characters and Brauer trees of the covering group of 2E_6(2) Book Section
In: Finite simple groups: thirty years of the atlas and beyond, vol. 694, pp. 33–55, Amer. Math. Soc., Providence, RI, 2017.
Corrections to: "A Murnaghan-Nakayama rule for values of unipotent characters in classical groups'' Journal Article
In: Represent. Theory, vol. 21, pp. 1–3, 2017, ISSN: 1088-4165.
Absence of algebraic relations and of zero divisors under the assumption of full non-microstates free entropy dimension Journal Article
In: Adv. Math., vol. 304, pp. 1080–1107, 2017.
Gröbner Fans of underlinex-homogeneous Ideals in R[[t]][underlinex] Journal Article
In: J. Symbolic Computation, vol. 83, pp. 315–341, 2017.
Standard Bases in mixed Power Series and Polynomial Rings over Rings Journal Article
In: J. Symbolic Computation, vol. 79, pp. 119–139, 2017.
Free Probability and Random Matrices Book
Springer, 2017.
Cuspidal characters and automorphisms Journal Article
In: Adv. Math., vol. 320, pp. 887-903, 2017.
A constructive approach to Freyd categories Online
2017.
Induced modules of split Iwahori-Hecke algebras are reducible Journal Article
In: Arch. Math. (Basel), vol. 109, no. 2, pp. 117–121, 2017, ISSN: 0003-889X.
Computing S-unit groups of orders Online
2017.
Partition C*-algebras Online
2017.
Controlled invariance for nonlinear Roesser models Proceedings Article
In: Proc. 10th Int. Workshop on Multidimensional Systems (NDS), Zielona Gora, Poland, 2017.
2016
Short Addition Sequences for Theta Functions Online Forthcoming
Forthcoming.
Refined algorithms to compute syzygies Journal Article
In: J. Symbolic Comput., vol. 74, pp. 308–327, 2016, ISSN: 0747-7171.
Rational rigidity for F_4(p) Journal Article
In: Adv. Math., vol. 302, pp. 48–58, 2016, ISSN: 0001-8708.
Computation of Kazhdan-Lusztig polynomials and some applications to finite groups Journal Article
In: arXiv e-prints, pp. arXiv:1610.07055, 2016.
A Murnaghan-Nakayama rule for values of unipotent characters in classical groups Journal Article
In: Represent. Theory, vol. 20, pp. 139–161, 2016, ISSN: 1088-4165.
Characters of odd degree Journal Article
In: Ann. of Math. (2), vol. 184, pp. 869-908, 2016.
2015
Computing in arithmetic groups with Voronoi 's algorithm Journal Article
In: J. Algebra, vol. 435, pp. 263–285, 2015.
Moduli of tropical plane curves Journal Article
In: Res. Math. Sci., vol. 2, pp. Art. 4, 31, 2015, ISSN: 2522-0144.
Tate resolutions on products of projective spaces Journal Article
In: Acta Math.Vietnam., vol. 40, no. 1, pp. 5-36, 2015.
Harish-Chandra series in finite unitary groups and crystal graphs Journal Article
In: Int. Math. Res. Not., vol. 2015, no. 22, pp. 12206-12250, 2015.
Imprimitive irreducible modules for finite quasisimple groups Journal Article
In: Mem. Amer. Math. Soc., vol. 234, no. 1104, 2015.
Champ: a Cherednik algebra Magma package Journal Article
In: LMS J. Comput. Math., vol. 18, no. 1, pp. 266–307, 2015.
The deficiency of being a congruence group for Veech groups of origamis Journal Article
In: Int. Math. Res. Not. IMRN, no. 6, pp. 1613-1637, 2015, ISSN: 1073-7928.
2014
Posets, tensor products and Schur positivity Journal Article
In: Algebra Number Theory, vol. 8, no. 4, pp. 933–961, 2014, ISSN: 1937-0652.
Computation of Galois groups of rational polynomials Journal Article
In: LMS J. Comput. Math., vol. 17, pp. 141–158, 2014.
Quantum Drinfeld Hecke Algebras Journal Article
In: Canad J Math, vol. 66, pp. 874–901, 2014.
2013
Parallel algorithms for normalization Journal Article
In: Journal of Symbolic Computation, vol. 51, pp. 99–114, 2013, ISSN: 0747-7171.
2012
Psi-floor diagrams and a Caporaso-Harris type recursion Journal Article
In: Israel J. Math., vol. 191, no. 1, pp. 405–449, 2012, ISSN: 0021-2172.
Improved techniques for computing the ideal class group and the unit group of a number field Proceedings Article
In: Kedlaya, Kiran S (Ed.): Proceedings of the ANTS-X conference, pp. 113-133, Mathematical Science Publishers, 2012.
Remarks on modular representations of finite groups of Lie type in non-defining characteristic Book Section
In: vol. 505, pp. 71–80, Amer. Math. Soc., Providence, RI, 2012.
2011
Wall crossings for double Hurwitz numbers Journal Article
In: Adv. Math., vol. 228, no. 4, pp. 1894-1937, 2011, ISSN: 0001-8708.
2009
Dessins d'enfants and origami curves Book Section
In: Handbook of Teichmüller theory. Vol. II, vol. 13, pp. 767-809, Eur. Math. Soc., Zürich, 2009.
2008
Kontsevich's formula and the WDVV equations in tropical geometry Journal Article
In: Adv. Math., vol. 217, pp. 537-560, 2008.
2007
Second order freeness and fluctuations of random matrices. III. Higher order freeness and free cumulants Journal Article
In: Doc. Math, pp. 1-70, 2007.
The Caporaso--Harris formula and plane relative Gromov-Witten invariants in tropical geometry Journal Article
In: Math. Ann., vol. 338, pp. 845–868, 2007.
The Caporaso–Harris formula and plane relative Gromov-Witten invariants in tropical geometry Journal Article
In: Math. Ann., vol. 338, pp. 845–868, 2007.
A comb of origami curves in the moduli space M_3 with three dimensional closure Journal Article
In: Geom. Dedicata, vol. 124, pp. 69-94, 2007, ISSN: 0046-5755.
Affine buildings and tropical convexity Journal Article
In: Albanian J. Math., vol. 1, no. 4, pp. 187–211, 2007, ISSN: 1930-1235.
2006
Lectures on the combinatorics of free probability Book
Cambridge University Press, Cambridge, 2006.
2004
An algorithm for finding the Veech group of an origami Journal Article
In: Experiment. Math., vol. 13, no. 4, pp. 459-472, 2004, ISSN: 1058-6458.
2003
Sheaf cohomology and free resolutions over exterior algebras Journal Article
In: Trans. Amer. Math. Soc., vol. 355, no. 11, pp. 4397–4426, 2003.
2002
Lattice chain models for affine buildings of classical type. Journal Article
In: Math. Ann., vol. 322, no. 3, pp. 537–562, 2002, ISSN: 0025-5831.
2000
Invariants of orthogonal G-modules from the character table Journal Article
In: Experimental Math., vol. 9, no. 4, pp. 623–629, 2000, ISSN: 1058-6458.
1997
Relative Normgleichungen Book
Dissertation, TU-Berlin, 1997.
1996
CHEVIE - A system for computing and processing generic character tables Journal Article
In: Applicable Algebra in Engineering, Communication and Computing, vol. 7, pp. 175-210, 1996.
0000
Minimal heights and defect groups with two character degrees Unpublished
0000.
