WORK IN PROGRESS
F.M. Bleher, T. Chinburg, R. Greenberg, M. Kakde, R. Sharifi and M.J. Taylor, "Higher Chern classes of Iwasawa modules and elliptic units," in progress.
SUBMITTED RESEARCH ARTICLES
F.M. Bleher, T. Chinburg, X. Ding, D. Micciancio and A. Suhl, "Algorithmic construction of optimal unramified multiquadratic extension towers," submitted, 2026.
F.M. Bleher and T. Chinburg, "Explicit approximations to class field towers," revised according to referee report, 2026. ArXiv:2301.05673
F.M. Bleher, T. Chinburg, X. Ding, N. Heninger and D. Micciancio, "On the radii of Voronoi cells of rings of integers," submitted, 2025. ArXiv:2512.19518
F.M. Bleher and M. Bustos Gonzalez, "Holomorphic differentials of alternating four covers," submitted, 2025. ArXiv:2510.15743
F.M. Bleher, T. Chinburg and J. Gillibert, "Triple Massey products for higher genus curves," submitted, 2025. ArXiv:2506.09837
F.M. Bleher and T. Chinburg, "Cup products on curves over finite fields," revised and resubmitted, 2024. ArXiv:2101.00329v2
PUBLICATIONS: REFEREED (ACCEPTED OT PUBLISHED)
F.M. Bleher, "Discriminants of number fields," Jahresber. Dtsch. Math.-Ver. 126 (2024), 167-177 DOI: 10.1365/s13291-024-00286-2
F.M. Bleher, T. Chinburg and J. Gillibert, "Massey products and elliptic curves," Proc. London Math. Soc. (3) 127 (2023), 134-164. DOI: 10.1112/plms.12541
F.M. Bleher and A. Wood, "The Galois module structure of holomorphic poly-differentials and Riemann-Roch spaces," J. Algebra 631 (2023), 756-803. DOI: 10.1016/j.algebra.2023.05.010
F.M. Bleher and N. Camacho, "Holomorphic differentials of Klein four covers," J. Pure Appl. Algebra 227 (2023), Paper No.107384. DOI: 10.1016/j.jpaa.2023.107384
F.M. Bleher, T. Chinburg and A. Lubotzky, "On representations of Gal(Q/Q), {GT}^ and Aut({F2}^)," J. Algebra 607 (Jan Saxl volume) (2022), 134-159. DOI: 10.1016/j.jalgebra.2021.06.005
F.M. Bleher, T. Chinburg and J. Gillibert, "Unramified Heisenberg group extensions of number fields," Israel J. Math. 247 (2022), 233-249. DOI: 10.1007/s11856-021-2260-8
F.M. Bleher, T. Chinburg, R. Greenberg, M. Kakde, R. Sharifi and M.J. Taylor, "Exterior powers in Iwasawa theory," J. Eur. Math. Soc. 24 (2022), 967-1005. DOI: 10.4171/JEMS/1115
F.M. Bleher, T. Chinburg and A. Kontogeorgis, "Galois structure of the holomorphic differentials of curves," J. Number Theory 216 (2020), 1-68. DOI: 10.1016/j.jnt.2020.04.015
F.M. Bleher, T. Chinburg, R. Greenberg, M. Kakde, G. Pappas, R. Sharifi and M.J. Taylor, "Higher Chern classes in Iwasawa theory," Amer. J. Math. 142 (2020), 627-682. DOI: 10.1353/ajm.2020.0017
F.M. Bleher, T. Chinburg and R.C. Soto, "Universal deformation rings, endo-trivial modules, and semidihedral and generalized quaternion 2-groups," J. Pure Appl. Algebra 223 (2019), 1897-1912. DOI: 10.1016/j.jpaa.2018.08.006
F.M. Bleher and D.J. Wackwitz, "Universal deformation rings and self-injective Nakayama algebras," J. Pure Appl. Algebra 223 (2019), 218-244. DOI: 10.1016/j.jpaa.2018.03.008
F.M. Bleher, T. Chinburg, R. Greenberg, M. Kakde, G. Pappas and M.J. Taylor, "Cup products in the étale cohomology of number fields," New York J. Math. 24 (2018), 514-542. http://nyjm.albany.edu/j/2018/24-28v.pdf
F.M. Bleher and J.A. Vélez-Marulanda, "Deformations of complexes for finite dimensional algebras," J. Algebra 491 (2017), 90-140. DOI: 10.1016/j.jalgebra.2017.08.003
F.M. Bleher, T. Chinburg, B. Poonen and P. Symonds, "Automorphisms of Harbater-Katz-Gabber curves," Math. Ann. 368 (2017), 811-836. DOI: 10.1007/s00208-016-1490-2
F.M. Bleher, T. Chinburg and B. Huisgen-Zimmermann, "Orbit closures and rational surfaces," J. Pure Appl. Algebra 22 (2016), 1785-1812. DOI: 10.1016/j.jpaa.2015.10.002
F.M. Bleher, T. Chinburg and B. Huisgen-Zimmermann, "The geometry of finite dimensional algebras with vanishing radical square," J. Algebra 425 (2015), 146-178. DOI: 10.1016/j.jalgebra.2014.11.010
F.M. Bleher, "Brauer's generalized decomposition numbers and universal deformation rings," Trans. Amer. Math. Soc. 366 (2014), 6507-6540. DOI: 10.1090/S0002-9947-2014-06120-5
F.M. Bleher, "Large universal deformation rings," Proc. Amer. Math. Soc. 142 (2014), 3039-3047. DOI: 10.1090/S0002-9939-2014-12104-6
F.M. Bleher, G. Llosent and J.B. Schaefer, "Universal deformation rings and tame blocks," J. Algebra 412 (2014), 87-106. DOI: 10.1016/j.jalgebra.2014.05.002
F.M. Bleher and S.N. Talbott, "Universal deformation rings of modules for algebras of dihedral type of polynomial growth," Algebr. Represent. Theory 17 (2014), 289-303. DOI: 10.1007/s10468-012-9399-2
F.M. Bleher, "Universal deformation rings of group representations, with an application of Brauer's generalized decomposition numbers," in: Expository Lectures on Representation Theory, edited by K. Igusa, A. Martsinkovsky, G. Todorov, Contemp. Math. 607 (2014), pp. 97-112. DOI: 10.1090/conm/607/12084
F.M. Bleher, T. Chinburg and B. de Smit, "Inverse Problems for deformation rings," Trans. Amer. Math. Soc. 365 (2013), 6149-6165. DOI: 10.1090/S0002-9947-2013-05848-5
F.M. Bleher and T. Chinburg, "Obstructions for deformations of complexes," Ann. Institut Fourier (Grenoble) 63 (2013), 613-654. DOI: 10.5802/aif.2771
F.M. Bleher and T. Chinburg, "Finiteness theorems for deformations of complexes," Ann. Institut Fourier (Grenoble) 63 (2013), 573-612. DOI: 10.5802/aif.2770
F.M. Bleher and J.A. Vélez-Marulanda, "Universal deformation rings of modules over Frobenius algebras," J. Algebra 367 (2012), 176-202. DOI: 10.1016/j.jalgebra.2012.06.008
F.M. Bleher, G. Llosent and J.B. Schaefer (Froelich), "Universal deformation rings and dihedral blocks with two simple modules," J. Algebra 345 (2011), 49-71. DOI: 10.1016/j.jalgebra.2011.08.010
F.M. Bleher and J.B. Froelich, "Universal deformation rings for the symmetric group S5 and one of its double covers," J. Pure Appl. Algebra 215 (2011), 523-530.DOI: 10.1016/j.jpaa.2010.06.004
F.M. Bleher, "Universal deformation rings and generalized quaternion defect groups," Adv. Math. 225 (2010), 1499-1522. DOI: 10.1016/j.aim.2010.04.004
F.M. Bleher, "Dihedral blocks with two simple modules," Proc. Amer. Math. Soc. 138 (2010), 3467-3479. DOI: 10.1090/S0002-9939-10-10402-X
F.M. Bleher and G. Llosent, "Universal deformation rings for the symmetric group S4," Algebr. Represent. Theory 13 (2010), 255-270. DOI: 10.1007/s10468-008-9120-7
F.M. Bleher, "Universal deformation rings and dihedral defect groups," Trans. Amer. Math. Soc. 361 (2009), 3661-3705. DOI: 10.1090/S0002-9947-09-04543-7
F.M. Bleher, T. Chinburg and J. Froelich, "Capping groups and some cases of the Fontaine-Mazur conjecture," Proc. Amer. Math. Soc. 137 (2009), 1551-1560. DOI: 10.1090/S0002-9939-08-09677-9
F.M. Bleher and T. Chinburg, "Pullback moduli spaces," Comm. Algebra 37 (2009), 1216-1239. DOI: 10.1080/00927870802466744
F.M. Bleher, "Universal deformation rings and dihedral 2-groups," J. London Math. Soc. 79 (2009), 225-237. DOI: 10.1112/jlms/jdn071
F.M. Bleher and T. Chinburg, "Galois structure of homogeneous coordinate rings," Trans. Amer. Math. Soc. 360 (2008), 6269-6301. DOI: 10.1090/S0002-9947-08-04436-X
F.M. Bleher and T. Chinburg, "Universal deformation rings need not be complete intersections," Math. Ann. 337 (2007), 739-767. DOI: 10.1007/s00208-006-0054-2
F.M. Bleher, "Deformations and derived equivalences," Proc. Amer. Math. Soc. 134 (2006), 2503-2510. DOI: 10.1090/S0002-9939-06-08269-4
F.M. Bleher and T. Chinburg, "Universal deformation rings need not be complete intersections," C. R. Math. Acad. Sci. Paris 342 (2006), 229-232. DOI: 10.1016/j.crma.2005.12.006
F.M. Bleher and T. Chinburg, "Deformations and derived categories," Ann. Institut Fourier (Grenoble) 55 (2005), 2285-2359 (75 pages). DOI: 10.5802/aif.2162
F.M. Bleher and T. Chinburg, "Deformations with respect to an algebraic group," Illinois J. Math. 47 (2003), 899-919. (Illinois Journal link to pdf file)
F.M. Bleher and T. Chinburg, "Applications of versal deformations to Galois theory," Comment. Math. Helv. 78 (2003), 45-64. DOI: 10.1007/s000140300002
F.M. Bleher, "Universal deformation rings and Klein four defect groups," Trans. Amer. Math. Soc. 354 (2002), 3893-3906. DOI: 10.1090/S0002-9947-02-03072-6
F.M. Bleher and T. Chinburg, "Locations of modules for Brauer tree algebras," J. Pure Appl. Algebra 169 (2002), 109-135. DOI: 10.1016/S0022-4049(01)00069-X
F.M. Bleher and T. Chinburg, "Deformations and derived categories," C. R. Math. Acad. Sci. Paris 334 (2002), 97-100. DOI: 10.1016/S1631-073X(02)02237-9
F.M. Bleher and T. Chinburg, "Universal deformation rings and cyclic blocks," Math. Ann. 318 (2000), 805-836. DOI: 10.1007/s002080000148
F.M. Bleher and W. Kimmerle, "On the structure of integral group rings of sporadic groups," LMS J. Comput. Math. 3 (2000), 274-306. ISSN 1461-1570 DOI: 10.1112/S1461157000000309
F.M. Bleher, "Operation of automorphisms on 1-tubes," J. Pure Appl. Algebra 138 (1999), 1-20. DOI: 10.1016/S0022-4049(97)00213-2
F.M. Bleher and T. Chinburg, "Operations on ring structures preserved by normalized automorphisms of group rings," J. Algebra 215 (1999), 531-542. DOI: 10.1006/jabr.1998.7749
F.M. Bleher, "Finite groups of Lie type of small rank," Pacific J. Math. 187 (1999), 215-239. DOI: 10.2140/pjm.1999.187.215
F.M. Bleher, "Integral group rings of finite groups of Lie type," Bull. London Math. Soc. 31 (1999), 43-44. DOI: 10.1112/S0024609398004937
F.M. Bleher, W. Kimmerle, K.W. Roggenkamp and M. Wursthorn, "Computational aspects of the isomorphism problem," in: Algorithmic Algebra and Number Theory, editors: B.H. Matzat, G.-M. Greuel, G. Hiss, Springer-Verlag, 1999, pp. 313-329.
F.M. Bleher, "Special biserial algebras and their automorphisms," in: Trends in the Representation Theory of Finite Dimensional Algebras, edited by E.L. Green, B. Huisgen-Zimmermann, Contemp. Math. 229 (1998), pp. 17-27. DOI: 10.1090/conm/229/03308
F.M. Bleher, "Automorphisms of string algebras", J. Algebra 201 (1998), 528-546. DOI: 10.1006/jabr.1997.7290
F.M. Bleher, M. Geck and W. Kimmerle, "Automorphisms of generic Iwahori-Hecke algebras and integral group rings of finite Coxeter groups," J. Algebra 197 (1997), 615-655. DOI: 10.1006/jabr.1997.7118
F.M. Bleher, G. Hiss and W. Kimmerle, "Autoequivalences of blocks and a conjecture of Zassenhaus," J. Pure Appl. Alg. 103 (1995), 23-43. DOI: 10.1016/0022-4049(94)00091-V
F.M. Bleher, "Tensor products and a conjecture of Zassenhaus," Arch. Math. 64 (1995), 289-298. DOI: 10.1007/BF01198082