# ERGÜN YALÇIN

Professor of Mathematics
Bilkent University

Personal Information

Education, mailing address, and CV

Research Interests

Cohomology of finite groups,
Transformation groups,
Group functors.

Publications

1. On some examples of group actions and group extensions, (with A. Adem),
J. Group Theory 2 (1999), 69-79.
2. Group actions and group extensions,
Trans. of A.M.S. 352 (2000), 2689-2700.
3. Free p-group actions on products of lens spaces,
Proc. of A.M.S. 129 (2001), 887-898.
4. On commuting and non-commuting complexes, (with J. Pakianathan),
J. Algebra 236 (2001), 396-418.
5. Set covering and Serre's theorem on the cohomology algebra of a p-group,
J. Algebra 245 (2001), 50-67.
6. On nilpotent ideals in the cohomology ring of a finite group, (with J. Pakianathan),
Topology 42 (2003), 1155-1183.
7. 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.
8. An induction theorem for the unit groups of Burnside rings of 2-groups
J. Algebra 289 (2005), 105-127.
9. A theorem of Jon F. Carlson on filtrations of modules, (with F. Altunbulak),
J. Pure and Appl. Algebra 208 (2007), 15-28.
10. Generalized Burnside rings and group cohomology, (with R. Hartmann),
J. Algebra 310 (2007), 917-944.
11. Borel-Smith functions and the Dade group, (with S. Bouc),
J. Algebra 311 (2007), 821-839.
12. Quadratic maps and Bockstein closed group extensions, (with J. Pakianathan),
Trans. Amer. Math. Soc. 359 (2007), 6079-6110.
13. Linear colorings of simplicial complexes and collapsing, (with Y. Civan),
J. Combin. Theory Ser. A 114 (2007), 1315-1331.
14. A note on Serre's theorem in group cohomology,
Proc. Amer. Math. Soc. 136 (2008), 2655-2663.
15. A Tate cohomology sequence for generalized Burnside rings, (with O. Coşkun)
J. Pure and Appl. Algebra 213 (2009), 1306-1315.
16. The Euler class of a subset complex , (with A. Güclükan)
Quart. J. Math. 61 (2010), 43-68.
17. Quasilinear actions on products of spheres, (with O. Ünlü)
Bull. London Math. Soc. 42 (2010), 981-990.
18. Acyclic chain complexes over the orbit category, (with I. Hambleton)
Münster J. of Math. 3 (2010), 145-162.
19. Productive elements in group cohomology,
Homology Homotopy Appl. 13 (2011), 381-401.
20. Fusion systems and constructing free actions on products of spheres, (with O. Ünlü)
Math. Z. 270 (2012), 939-959.
21. Bockstein closed 2-group extensions and cohomology of quadratic maps, (with J. Pakianathan)
J. Algebra 357 (2012), 34-60.
22. Equivariant CW-complexes and the orbit category, (with I. Hambleton and S. Pamuk)
Comment. Math. Helv. 88 (2013), 369-425.
23. Fusion systems and group actions with abelian isotropy subgroups, (with O. Ünlü)
Proc. Edin. Math. Soc. 56 (2013), 873-886.
24. Free actions on products of spheres at high dimensions, (with O. B. Okutan)
Algebraic & Geometric Topology 13 (2013), 2087-2099.
25. Constructing homologically trivial actions on products of spheres, (with O. Ünlü)
Indiana Univ. Math. J. 62 (2013), 927-945.
26. Relative group cohomology and the orbit category, (with S. Pamuk)
Communications in Algebra 42 (2014), 3220-3243.
27. Homotopy representations over the orbit category, (with I. Hambleton)
Homology Homotopy Appl. 16 (2014), 345-369.
28. On the basis of the Burnside ring of a fusion system, (with M. Gelvin and S. P. Reeh)
J. Algebra 423 (2015), 767-797.
29. Group actions on spheres with rank one isotropy, (with I. Hambleton)
Trans. Amer. Math. Soc. 368 (2016), 5951-5977.
30. Rank Three p-Group Actions on Products of Spheres,
Bull. London Math. Soc. 48 (2016), 325-340.
31. Group actions on spheres with rank one prime power isotropy, (with I. Hambleton)
to appear in Math. Research Letters.
32. Representation rings for fusion systems and dimension functions, (with S.P. Reeh)
Submitted.
33. Equivariant Moore spaces and the Dade group,
Submitted.

Subjects Taught

Undergraduate Level
Calculus (101, 102, 111, 112)
Linear Algebra (223, 224, 227)
Abstract Mathematics (123, 124)
Advanced Calculus (213, 214)
Differential Equations (240)
Topology (310)
Algebra (323, 324)
Discrete Mathematics (110, 132)
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: 111(a) Fen A
Bilkent University
Bilkent, Ankara 06800 Turkey
Phone:
+90 312 290 2106
Fax:
+90 312 290 5097
Email: yalcine \at fen \dot bilkent \dot edu \dot tr

Last update: June 21, 2016