Müller Peter, Prof. Dr.
Lehrstuhlinhaber
Prof. Dr. Peter Müller
Lehrstuhlinhaber
Lehrstuhl für Mathematik I
Emil-Fischer-Straße 30
97074
Würzburg
Gebäude:
30 (Mathematik West)
Raum:
03.003
Telefon:
+49 931 31-85012
Fax:
+49 931 31-85599
E-Mail:
peter.mueller@uni-wuerzburg.de
PGP: Public Key

See also my profiles at [orcid.org] [Google Scholar] [MathSciNet (Mathematical Reviews)] [zbMATH (Zentralblatt)]
- A note on Galois groups of linearized polynomials
[preprint (2023)] - On transitive sets of derangements in primitive groups
[preprint (2023)] - A note on a conjecture by Ulas on polynomial substitutions
Journal of Number Theory 205 (2019), 122-123.
[published version] [preprint] [MR3996346] [Zbl 1436.11031] - Decompositions of rational functions over real and complex numbers and a question about invariant curves
Illinois Journal of Mathematics 59 (2015), no. 4, 825-838.
[published version] [free copy] [MR3628291] [Zbl 1361.30041] - Low-degree planar monomials in characteristic two
with M. Zieve
J. Algebraic Combinatorics 42 (2015), no. 3, 695-699.
[published version] [preprint] [MR3403176] [Zbl 1343.51005] - On the size of Kakeya sets in finite vector spaces
with G. Kyureghyan, Qi Wang
Electron. J. Combin. 20 (2013), no. 3.
[published version] [preprint] [MR3104534] [Zbl 1295.11138] - Permutation groups with a cyclic two-orbits subgroup and monodromy groups of Laurent polynomials
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), Vol. XII (2013), 369-438.
[published version] [preprint] [MR3114008] [Zbl 1366.20001] - Permutation polynomials and translation planes of even order
with U. Dempwolff
Adv. Geom. 13 (2013), 293-313.
[published version] - Galois groups of multivariate Tutte polynomials
with A. Bohn, P. Cameron
J. Alg. Comb. 36(2) (2012), 223-230.
[published version] [preprint] - Translation planes of odd order via Dembowski-Ostrom polynomials
with U. Dempwolff
Osaka J. Math. 49 (2012), 771-794.
[published version (open access)] - On the non-existence of sharply transitive sets of permutations in certain finite permutation groups
with G. Nagy
Adv. Math. Commun. 5(2) (2011), 303 - 308.
[published version] [preprint] - A note on the group of projectivities of finite projective planes
with G. Nagy
Innov. Incidence Geom. 6-7 (2009), 291-294.
[published version] [preprint] - Sharply 2-transitive sets of permutations and groups of affine projectivities
with T. Grundhöfer
Beiträge zur Algebra und Geometrie 50(1) (2009), 143-154.
[ published version] [preprint] - Factorized spread sets and translation planes with large homology groups
with U. Dempwolff
Advances in Geometry 9(1) (2009), 111-124.
[published version] - Quadratic factors of f(X)-g(Y)
with M. Kulkarni, B. Sury
Indagationes Mathematicae 18 (2007), 233-243.
[published version] [preprint] - Permutation groups of prime degree, a quick proof of Burnside's theorem
Archiv der Mathematik 85, (2005), 15-17.
[published version] [preprint] - The rational function analogue of a question of Schur and exceptionality of permutation representations
with R. Guralnick, J. Saxl
Memoirs of the American Mathematical Society, Band 162, AMS (2003).
[published version] [preprint] - Algebraic groups over finite fields, a quick proof of Lang's theorem
Proc. Amer. Math. Soc. 131, 2 (2003), 369-370.
[published version] [preprint] - Finiteness results for Hilbert's irreducibility theorem
Ann. Inst. Fourier 52, 4 (2002), 983-1015.
[published version] [preprint] - Arithmetically exceptional functions and elliptic curves
In: D. Harbater, P. Müller, J. Thompson, H. Völklein (eds), Aspects of Galois Theory, London Math. Soc. Lecture Notes 256, Cambr. Univ. Press, 1999, 180-201.
[published version] [preprint] - Hilbert's irreducibility theorem for prime degree and general polynomials
Israel J. Math. 109, (1999), 319-337.
[published version] [preprint] - (An,Sn) realizations by polynomials - on a question of Fried
Finite Fields Appl. 4 (1998), 465-468.
[published version] [preprint] - Exceptional polynomials of affine type
with R. Guralnick
J. Algebra 194 (1997), 429-454.
[published version] [preprint available upon request] - A Weil-bound free proof of Schur's conjecture
Finite Fields Appl. 3 (1997), 25-32.
[published version] [preprint] - An infinite series of Kronecker conjugate polynomials
Proc. Amer. Math. Soc. 125 (1997), 1933-1940.
[published version] [preprint available upon request] - Kronecker conjugacy of polynomials
Trans. Amer. Math. Soc. 350 (1998), 1823-1850.
[published version] [preprint available upon request] - Wan's bound for value sets of polynomials
with T. Cusick
In: S. Cohen and H. Niederreiter (eds), Finite Fields and Applications, London Mathematical Society Lecture Note Series 233, 69-72, Cambridge University Press, Cambridge, 1996.
[published version] [preprint available upon request] - Reducibility behavior of polynomials with varying coefficients
Israel J. Math. 94 (1996), 59-91.
[published version] [preprint available upon request] - On a question of Davenport
with H. Voelklein
J. Number Theory 58 (1996), 46-54.
[published version] [preprint] - New examples of exceptional polynomials
In: G. L. Mullen and P. J. Shiue (eds), Proceedings Second International conference on Finite Fields, Contemp. Maths. 168, 245-249, Amer. Math. Soc., 1994.
[published version] [preprint available upon request] - Primitive monodromy groups of polynomials
In: M. Fried (ed), Recent developments in the inverse Galois problem, Contemp. Maths. 186, 385-401, Amer. Math. Soc., 1995.
[published version] [preprint] - On the collineation group of cyclic planes
J. Combin. Theory Ser. A, 65(1) (1994), 60-66.
[published version] [preprint available upon request] - Sharply transitive linear algebraic groups
Geom. Dedicata 45(2) (1993), 203-224.
[published version] [preprint available upon request] - On simple semiabelian p-adic Lie algebras
Comm. Algebra 20(4) (1992), 1041-1049.
[published version] [preprint available upon request] - Transitive linear groups with large soluble normal subgroups
Geom. Dedicata 38 (1991), 329-330.
[published version] [preprint available upon request]
- Rational functions and finite permutation groups
Würzburg (2016)
[slides] - Monodromy groups of rational functions, related group theoretic questions and computation of interesting rational functions
Erlangen (2016)
[slides] - Gruppentheoretische Methoden in der Zahlentheorie und Geometrie rationaler Funktionen
Magdeburg (2015)
[slides] - Mathieu groups as Galois groups
München (2015)
[slides] - A combined Groebner basis and power series approach in inverse Galois theory
Bonn (2015)
[slides] - Sharply transitive sets of permutations
Vienna (2012)
[slides]
- Another proof of Segre's Theorem about ovals
[preprint (2013)] - A one-parameter family of polynomials with Galois group M24 over Q(t)
[preprint (2012)] [accompanying data] - On Ritt's polynomial decomposition theorems
with M. Zieve
[preprint (2008)] - The degree 8 examples in Davenport's problem
[note (2006)] - Value sets of polynomials on Hilbertian fields
[note (2005)]