ERGÜN YALÇIN

Bilkent University  Department of Mathematics Bilkent University Registration System Dave Benson's Preprint Archive Front for the Mathematics ArXiv MathSciNet Algebraic Topology Discussion List Colloquia and Seminars in the Department

Associate Professor
Department of Mathematics
Bilkent University

Autobiography

Autobiography, mailling 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. Equivariant CW-complexes and the orbit category, (with I. Hambleton and S. Pamuk)
    to appear in Commentarii Mathematici Helvetici.
21. Fusion systems and constructing free actions on products of spheres, (with O. Ünlü)
    to appear in Math. Zeit.
22. Bockstein closed 2-group extensions and cohomology of quadratic maps, (with J. Pakianathan)
    submitted.
23. Fusion systems and group actions with abelian isotropy subgroups, (with O. Ünlü)
    submitted.

Subjects Taught

Undergraduate Level

Calculus (101, 102, 111, 112)

Linear Algebra (223, 224, 227)

Abstract Mathematics (123, 124)

Advanced Calculus (213, 214)

Topology (310)

Algebra (323, 324)

Discrete Mathematics (110, 132)

Number Theory (253)

Graduate Level

Algebra I, II (523, 524)

Homological Algebra (625)

Algebraic Topology I (611)

Topics in Algebraic Topology I (618)

Cohomology of Groups (626)

Regular Math Meetings

• Antalya Cebir Gunleri (Antalya Algebra Days), annually in May.
• Bilkent Algebra Day II, January 15, 2002.
• Bilkent Algebra Day I, March 24, 2001.
• Colloquia and Seminars in the Department

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