ERGÜN YALÇIN
Professor of Mathematics
Bilkent University
Course Webpages
Math220-Linear Algebra
Personal Information
Education, mailing address, and CV
Research Interests
Cohomology of groups,
Group actions on topological spaces,
Homological algebra.
Publications
- On some examples of group actions
and group extensions, (with A. Adem),
J. Group Theory 2 (1999), 69-79.
- Group actions and group extensions,
Trans. of A.M.S. 352 (2000), 2689-2700.
- Free p-group actions on products of
lens spaces,
Proc. of A.M.S. 129 (2001), 887-898.
- On commuting and non-commuting complexes,
(with J. Pakianathan),
J. Algebra 236 (2001), 396-418.
- Set covering and Serre's theorem on
the cohomology algebra of a
p-group,
J. Algebra 245 (2001), 50-67.
- On nilpotent ideals in the
cohomology ring of a finite group, (with J. Pakianathan),
Topology 42 (2003),
1155-1183.
- A new notion of rank for finite
supersolvable groups and free linear actions on products of spheres, (with L. Barker),
J. Group Theory 6 (2003), 347-364.
- An induction theorem for the unit
groups of Burnside rings of 2-groups
J. Algebra 289 (2005), 105-127.
- A theorem of Jon F. Carlson on
filtrations of modules, (with F. Altunbulak),
J. Pure and Appl. Algebra 208 (2007), 15-28.
- Generalized Burnside rings and group cohomology, (with
R. Hartmann),
J. Algebra 310 (2007), 917-944.
- Borel-Smith functions and the Dade group,
(with S. Bouc),
J. Algebra 311 (2007), 821-839.
- Quadratic maps and Bockstein closed group
extensions, (with J. Pakianathan),
Trans. Amer. Math. Soc. 359 (2007), 6079-6110.
- Linear colorings of simplicial complexes and
collapsing, (with Y. Civan),
J. Combin. Theory Ser. A 114 (2007), 1315-1331.
- A note on Serre's theorem in group cohomology,
Proc. Amer. Math. Soc. 136 (2008), 2655-2663.
- A Tate cohomology sequence for generalized
Burnside rings, (with O. Coşkun)
J. Pure and Appl. Algebra 213 (2009), 1306-1315.
- The Euler class of a subset complex
, (with A. Guclukan)
Quart. J. Math. 61 (2010), 43-68.
- Quasilinear actions on products of spheres,
(with O. Unlu)
Bull. London Math. Soc. 42 (2010), 981-990.
- Acyclic chain complexes over the orbit category,
(with I. Hambleton)
Munster J. of Math. 3 (2010), 145-162.
- Productive elements in group cohomology,
Homology Homotopy Appl. 13 (2011), 381-401.
- Fusion systems and constructing free actions on
products of spheres, (with O. Unlu)
Math. Z. 270 (2012), 939-959.
- Bockstein closed 2-group extensions and cohomology of
quadratic maps, (with J. Pakianathan)
J. Algebra 357 (2012), 34-60.
- Equivariant CW-complexes and the orbit category,
(with I. Hambleton and S. Pamuk)
Comment. Math. Helv. 88 (2013), 369-425.
- Fusion systems and group actions with abelian
isotropy subgroups, (with O. Unlu)
Proc. Edin. Math. Soc. 56 (2013), 873-886.
- Free actions on products of spheres at high dimensions,
(with O. B. Okutan)
Algebraic & Geometric Topology 13 (2013), 2087-2099.
- Constructing homologically trivial actions on products
of spheres, (with O. Unlu)
Indiana Univ. Math. J. 62 (2013), 927-945.
- Relative group cohomology and the orbit category,
(with S. Pamuk)
Communications in Algebra 42 (2014), 3220-3243.
- Homotopy representations over the orbit category,
(with I. Hambleton)
Homology Homotopy Appl. 16 (2014), 345-369.
- On the basis of the Burnside ring of a fusion system,
(with M. Gelvin and S. P. Reeh)
J. Algebra 423 (2015), 767-797.
- Group actions on spheres with rank one isotropy,
(with I. Hambleton)
Trans. Amer. Math. Soc. 368 (2016), 5951-5977.
- Rank Three p-Group Actions on Products of Spheres,
Bull. London Math. Soc. 48 (2016), 325-340.
- Group actions on spheres with rank one prime power isotropy,
(with I. Hambleton)
Math. Res. Letters 24 (2017), 379-400.
- Equivariant Moore spaces and the Dade group,
Adv. Math. 309 (2017), 209-237.
- Representation rings for fusion systems and dimension functions,
(with S.P. Reeh)
Math. Z. 288 (2018), 509-530.
- Dimension functions for spherical fibrations, (with C. Okay)
Algebraic & Geometric Topology 18 (2018), 3907-3941.
- Obstructions for gluing biset functors, (with O. Coşkun)
J. Algebra 532 (2019), 268-310.
- Cohomology of infinite groups realizing fusion systems, (with M. S. Gundogan)
Journal of Homotopy and Related Structures 14 (2019), 1103-1130.
- Finite groups of rank two which do not involve Qd(p), (with M. Y. Kizmaz)
Proc. Amer. Math. Soc. 148 (2020), 3713-3721.
- Dade groups for finite groups and dimension functions, (with M. Gelvin)
J. Algebra 576 (2021), 146-196.
- Higher limits over the fusion orbit category,
Adv. Math. 406 (2022) 108482, 69 pp.
- LHS-spectral sequences for regular extensions of categories,
Journal of Homotopy and Related Structures, 19 (2024), 1-51.
- Steenrod closed parameter ideals in the mod-2 cohomology of A_4 and SO(3), (with H. Ruping
and M. Stephan)
Submitted.
Subjects Taught
- Undergraduate Level
- Calculus (101, 102, 111, 112)
- Linear Algebra (220, 223, 224, 227)
- Abstract Mathematics (123, 124)
- Advanced Calculus (213, 214)
- Differential Equations (240)
- Introduction to Probability (250)
- Topology (310)
- Algebra (323, 324)
- Discrete Mathematics (110, 132, 210)
- Number Theory (253)
- Graduate Level
- Algebra I, II (523, 524)
- Group Representations (525)
- Homological Algebra (625)
- Algebraic Topology I (611)
- Topics in Algebraic Topology I (618)
- Cohomology of Groups (626)
Regular Math Meetings
- Office: 127 Science A
- Bilkent University
- Bilkent, Ankara 06800 Turkey
- Phone:
- +90 312 290 2115
- Fax:
- +90 312 290 5097
- Email: yalcine \at fen \dot bilkent \dot edu \dot tr
Last update: May 27, 2024