**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 and T. Chinburg, "Explicit approximations to class field towers," submitted, 2023. ArXiv:2301.05673
- F.M. Bleher and T. Chinburg, "Cup products on curves over finite fields," revising to resubmit, 2023. ArXiv:2101.00329

**PUBLICATIONS: REFEREED (ACCEPTED OR PUBLISHED)**

- F.M. Bleher, T. Chinburg and J. Gillibert, "Massey products and elliptic curves," accepted, Proc. London Math. Soc., 2023. ArXiv:2205.13825
- 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({F
_{2}}^)," 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 S
_{5}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 S
_{4}," 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

Copyright Frauke M. Bleher, 00/01/2022