Michael Schein

Associate Professor
Address: Department of Mathematics
Bar-Ilan University
Ramat Gan 52900 Israel
E-mail: mschein at math dot biu.ac.il
Office: Mathematics 214 (Office hours: by e-mail appointment)
Phone: 03-5318764 (+972 3 5318764 from outside Israel)

Bar-Ilan algebra seminar. Please contact me to be added to the mailing list.

5th Israeli Algebra and Number Theory Day at Bar-Ilan, on June 8, 2017.



Papers and Preprints

These files do not reflect corrections made in proof and may differ slightly from the final published articles.

Pro-isomorphic zeta functions of some D* Lie lattices of even rank (with Y. Moadim Lesimcha). Proc. Amer. Math. Soc. 152 (2024), 1391-1403.

Generalized Igusa functions and ideal growth in nilpotent Lie rings (with A. Carnevale and C. Voll). Algebra Number Theory 18 (2024), 537-582.

Ideal growth in amalgamated powers of nilpotent rings of class two and zeta functions of quiver representations (with T. Bauer). Bull. London Math. Soc. 55 (2023), 1511-1529.

A family of irreducible supersingular representations of GL2(F) for some ramified p-adic fields. Israel J. Math. 255 (2023), 911-930.

Systolic length of triangular modular curves (with A. Shoan). J. Number Theory 239 (2022), 462-488.

Pro-isomorphic zeta functions of nilpotent groups and Lie rings under base extension (with M. N. Berman and I. Glazer). Trans. Amer. Math. Soc. 375 (2022), 1051-1100.

On the flat cohomology of binary norm forms (with R. A. Bitan). J. Théor. Nombres Bordeaux 31 (2019), 527-553.

Bolza quaternion order and asymptotics of systoles along congruence subgroups (with K. Katz, M. Katz, and U. Vishne). Exper. Math. 25 (2016), 399-415.

Normal zeta functions of the Heisenberg groups over number rings II -- the non-split case (with C. Voll). Israel J. Math. 211 (2016), 171-195.

Normal zeta functions of the Heisenberg groups over number rings I -- the unramified case (with C. Voll). J. London Math. Soc. 91 (2015), 19-46.

On the universal supersingular mod p representations of GL2(F) . J. Number Theory 141 (2014), 242-277.

Orbits of a group action as optimal designs. Mediterr. J. Math 11 (2014), 89-96.

Serre's modularity conjecture. Travaux Math. 23 (2013), 139-172. (survey paper).

An irreducibility criterion for supersingular mod p representations of GL2(F), for F a totally ramified extension of Qp. Trans. Amer. Math. Soc. 363 (2011), 6269-6289.

Reduction modulo p of cuspidal representations and weights in Serre's conjecture Bull. London Math. Soc 41 (2009), 147-154.

Weights in Serre's conjecture for GLn via the Bernstein-Gelfand-Gelfand complex J. Number Theory 128 (2008), 2808-2822.

On modular weights of Galois representations Math. Res. Lett. 15 (2008), 537-542.

Weights in Serre's conjecture for Hilbert modular forms: the ramified case Israel J. Math. 166 (2008), 369-391.

Weights of Galois representations associated to Hilbert modular forms J. Reine Angew. Math. 622 (2008), 57-94.

Lecture Notes

Modularity lifting theorems and the proof of the Sato-Tate conjecture Notes for the Hebrew University Number Theory Seminar.

Weights in generalizations of Serre's conjecture and the mod p local Langlands correspondence Expanded version of a talk at "Symmetries in Algebra and Number Theory," (Göttingen, October 2008).

Notes (slightly incomplete) for my talks at the Galois Quarter in Paris: Part 1 , Part 2 , Part 3

Group Cohomology. Notes for Bar-Ilan course 88-909.

Generalized Igusa functions and ideal growth in nilpotent Lie rings (with A. Carnevale and C. Voll). Sém. Lothar. Combin 84B (2020), Art. 71, 12 pp.
Extended abstract for the proceedings of FPSAC 2020, based on our article with the same title.

Courses

Spring 2025: Non-commutative Algebra (88-815)
Fall 2024: Algebraic Number Theory (88-798)
Group Theory (88-218)
Spring 2024: Non-commutative Algebra (88-815)
Complex Functions (88-231)
Fall 2023: Ordinary Differential Equations (88-240)
Group Theory (88-218)
Spring 2023: Arithmetic of Elliptic Curves (88-864)
Ring and Module Theory (88-212)
Fall 2022: Algebraic Number Theory (88-798)
Introduction to Linear Algebra (for teachers) (88-613)
Spring 2022: Group Cohomology (88-909)
Ring and Module Theory (88-212)
Fall 2021: Group Theory (88-218)
Spring 2021: Algebraic Number Theory (88-798)
Ring and Module Theory (88-212)
Spring 2020: Ring and Module Theory (88-212)
Ordinary Differential Equations (for engineering students) (83-115)
Fall 2019: Ordinary Differential Equations (88-240)
Group Theory (88-218)
Spring 2019: Number Theory (for CS students) (89-256)
Ordinary Differential Equations (for engineering students) (83-115)
Fall 2018: Algebraic Number Theory (88-798)
Group Theory (88-218)
Spring 2018: Number Theory (for CS students) (89-256)
Fall 2017: (Arithmetic of) Elliptic Curves (88-864)
Group Theory (88-218)
Spring 2017: Algebraic Number Theory (88-798)
Fall 2016: Infinitesimal Calculus 1 (88-132)
Algebraic Structures for CS students (89-214)
Spring 2016: Group Cohomology (88-909)
Infinitesimal Calculus 2 (88-133)
Fall 2015: Infinitesimal Calculus 1 (88-132)
Algebraic Structures for CS students (89-214)
Spring 2015: Infinitesimal Calculus 2 (88-133)
Fall 2014: Algebraic Structures (for CS students) (89-214)
Spring 2014: Infinitesimal Calculus 2 (88-133)
Fall 2013: Non-Archimedean Functional Analysis (88-818)
Algebraic Structures (for CS students) (89-214)
Spring 2013: Representation Theory of Locally Compact Groups (88-819)
Infinitesimal Calculus 2 (88-133)
Fall 2012: Algebraic Number Theory (88-798)
Algebraic Structures (for CS students) (89-214)
Spring 2012: Number Theory for Computer Scientists (89-256)
Infinitesimal Calculus 2 (88-133-05)
Fall 2011: Commutative Algebra (88-813)
Infinitesimal Calculus 1 (88-132-05)
Spring 2011: Local Fields (88-879)
Infinitesimal Calculus 2 (88-133-05)
Number Theory for Computer Scientists (89-256)
Fall 2010: Infinitesimal Calculus 1 (88-132-05)
Spring 2010: Infinitesimal Calculus 2 (88-133-05)
Number Theory for Computer Scientists (89-256)
Fall 2009: Commutative Algebra (88-813)
Spring 2009: Infinitesimal Calculus 2 (88-133-05)
Fall 2008: Commutative algebra (88-813)
Algebraic number theory (88-798)

Source sheets