Geometry, algebra and topology

Dir­ect­or of the spe­cial­iz­a­tion

Pekka Pankka

Per­son re­spons­ible for dis­cuss­ing the study plans

Pekka Pankka

Model study plans

Ex­ample 1

Topologically inclined student who will take Introduction to algebraic topology and a topics course in topology. Studies contain 20+20+10 cr math + 30 cr pro gradu + 5 cr seminar + 35 cr optional math or minor subject = 120 cr.

Year 1: Autumn

                      Algebra II (10cr.)

                      Topology II   (10cr.)

                      Optional courses/Minor subject (10cr.)

Year 1: Spring

                      Introduction to algebraic topology (10cr.)

                      Complex analysis (10cr.)

                      Optional courses/Minor subject (10cr.)

Year 2: Autumn

                      Topics course in topology e.g. Homotopy theory (10cr.)

                      Optional courses/Minor subject (10cr.)

                      Pro gradu starts

Year 2: Spring

                      Pro gradu 30cr completed + Seminar 5cr

                      Minor subject (5cr.)

Example 2

Geomerically inclined student who will take Introduction to differential geometry and Riemannian geomety as the topics course and Real analysis for the  Riemannian geometry. Also takes Introduction to Algebraic topology to enchange the understanding in geometry. Studies contain 25+20+10 cr math + 30 cr pro gradu + 5 cr seminar + 30 cr optional math or minor subject.

Year 1: Autumn

                      Introduction to differential geometry (10cr)

                      Topology II   (10cr.)

                      Real analysis I (5cr)

                      Optional courses/Minor subject (5cr.)

Year 1: Spring

                      Introduction to algebraic topology (10cr.)

                      Complex analysis (10cr.)

                      Optional courses/Minor subject (10cr.)

Year 2: Autumn

                      Riemannian geometry (10cr.)

                      Optional courses/Minor subject (10cr.)

                      Pro gradu starts

Year 2: Spring

                      Pro gradu 30cr completed + Seminar 5cr

                      Minor subject (5cr.)