Time and place

Lecture: Mo, Do, 8-10h, HS Rundbau, Albertstr. 21
Tutorial: 2 hours, various dates
Sit-in exam: date to be announced

Teacher: Sebastian Goette
Assistant: Mikhail Tëmkin
Language: in German

Linear Algebra I is one of the two introductory lectures in the mathematics degree program that form the basis for further courses. Topics covered include: fundamental concepts (in particular fundamental concepts of set theory and equivalence relations), groups, fields, vector spaces over arbitrary fields, basis and dimension, linear mappings and transformation matrix, matrix calculus, linear systems of equations, Gaussian elimination, linear forms, dual space, quotient vector spaces and homomorphism theorem, determinant, eigenvalues, polynomials, characteristic polynomial, diagonalizability, affine spaces. The background to the mathematical content is explained in terms of ideas and the history of mathematics.

Required: High school mathematics. \
Attendance of the preliminary course (for students in mathematics) is recommended.

Linear Algebra (2HfB21, BSc21, MEH21)
Linear Algebra (MEB21)
Linear Algebra I (BScInfo19, BScPhys20)

Time and place

Lecture: Mo, Mi, 14-16h, HS II, Albertstr. 23b
Tutorial: 2 hours, date to be determined

Teacher: Sebastian Goette
Assistant: Mikhail Tëmkin
Language: in German

Differential geometry, especially Riemannian geometry, deals with the geometric properties of curved spaces. Such spaces also occur in other areas of mathematics and physics, for example in geometric analysis, theoretical mechanics and the general theory of relativity.

Required: Analysis~I–III, Lineare Algebra~I and II \ Recommended: Analysis of Curves and Surfaces ("Kurven und Flächen"), Topology

Elective (Option Area) (2HfB21)
Compulsory Elective in Mathematics (BSc21)
Mathematical Concentration (MEd18, MEH21)
Pure Mathematics (MSc14)
Mathematics (MSc14)
Concentration Module (MSc14)
Elective (MSc14)
Elective (MScData24)

Time and place

Seminar: Di, 14-16h, SR 125, Ernst-Zermelo-Str. 1
Preliminary Meeting 16.07., SR 125, Ernst-Zermelo-Str. 1
Preparation meetings for talks: Dates by arrangement

Teacher: Sebastian Goette
Assistant: Mikhail Tëmkin
Language: Talk/participation possible in German and English

We will discuss advanced topics in algebraic topology. Depending on the interest of the participants we could work on one of the following topics---if you have other topic suggestions, please contact the lecturer.

• The Steenrod algebra. An additional structure on the cohomology modulo \(p\) allows finer statements on the existence of continuous mappings, such as the existence of of linearly independent vector fields on spheres. The Wu formulas provide a connection to characteristic classes of manifolds.
• Structured spectra. In order to represent multiplicative (co-)homology functors by spectra, one needs a closed monoidal category of spectra, for example a category of spectra, for example symmetric or orthogonal spectra. In this context we also get to know model structures better.
• \(K\)-theory and index theory. Elliptic differential operators on compact manifolds are manifolds are Fredholm operators. Their index can be defined by the theorem of Atiyah--Singer topologically. We prove this theorem using (mainly) topological methods and give some geometric applications.

Algebraic Topology~I and II

Elective (Option Area) (2HfB21)
Mathematical Seminar (BSc21)
Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)
Mathematical Seminar (MSc14)
Elective (MSc14)
Elective (MScData24)

Time and place

Di 14-16h, SR 125, Ernst-Zermelo-Str. 1, Fr, 10-12h, SR 125, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette
Assistant: Jonas Schnitzer

Time and place

Mo 12-14h, HS Rundbau, Albertstr. 21, Fr, 14-16h, HS Rundbau, Albertstr. 21

Teacher: Sebastian Goette
Assistant: Vera Jackisch

Time and place

Mo, 16-18h, SR 125, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette, Nadine Große, Christian Ketterer

Time and place

Lecture: Mo, Mi, 14-16h, HS II, Albertstr. 23b

Teacher: Sebastian Goette
Assistant: Jonas Schnitzer
general:

Time and place

Lecture: Mo, Mi, 10-12h, HS Rundbau, Albertstr. 21

Teacher: Sebastian Goette
Assistant: Vera Jackisch

Time and place

Mo, 16-18h, SR 404, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette, Nadine Große, Christian Ketterer

Time and place

Lecture: Di, Do, 12-14h, HS Weismann-Haus, Albertstr. 21a
Sit-in exam 27.07., 10:00-12:00
Sit-in exam (resit) 19.01., 14:00-00:00

Teacher: Sebastian Goette
Assistant: Jonas Schnitzer
general:

Pure Mathematics (MSc14)
Mathematical Concentration (MEd18, MEH21)
Compulsory Elective in Mathematics (BSc21)

Time and place

Mo Mi, 16-18h, HS Rundbau, Albertstr. 21

Teacher: Sebastian Goette
Assistant: Vera Jackisch

Time and place

Mo, 14-16h, SR 125, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette
Assistant: Thorsten Hertl

Time and place

Mo, 16-18h, SR 125, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette, Nadine Große

Time and place

Lecture: Mo, Mi, 10-12h, HS Weismann-Haus, Albertstr. 21a
Sit-in exam 07.03., 10:00-12:00

Teacher: Sebastian Goette
Assistant: Thorsten Hertl
general:

Analysis III (BSc21)
Mathematical Concentration (MEd18, MEH21)

Time and place

Mo, 14-16h, SR 125, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette
Assistant: Jonas Lenthe

Undergraduate Seminar (2HfB21, BSc21, MEH21, MEB21)

Time and place

Mo, 16-18h, HS II, Albertstr. 23b

Teacher: Sebastian Goette, Nadine Große, Christian Ketterer

Time and place

Lecture: Mo, Mi, 8-10h, HS Rundbau, Albertstr. 21

Teacher: Sebastian Goette
Assistant: Jonas Schnitzer
general: ,

Analysis II (BScInfo19, BScPhys20)

Time and place

Mo, 14-16h, SR 127, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette, Nadine Große
Assistant: Mara Ungureanu

Supplementary Module in Mathematics (MEd18)
Compulsory Elective in Mathematics (BSc21)

Time and place

Mo, 16-18h, SR 125, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette, Nadine Große, Christian Ketterer

Time and place

Mi, 14-16h, SR 226, Hermann-Herder-Str. 10

Teacher: Sebastian Goette, Nadine Große, Annette Huber-Klawitter, Stefan Kebekus, Wolfgang Soergel
Assistant: Vivien Vogelmann

Time and place

Lecture: Mi, Di, 8-10h, HS Rundbau, Albertstr. 21
Sit-in exam 31.03., 09:00-13:00
Sit-in exam (resit) 23.06., 00:00-00:00

Teacher: Sebastian Goette
Assistant: Jonas Schnitzer
general: ,

Teacher: Sebastian Goette
Assistant: Jonas Schnitzer

Supplementary Module in Mathematics (MEd18)
Compulsory Elective in Mathematics (BSc21)

Time and place

Mi, 14-16h, HS II, Albertstr. 23b

Teacher: Sebastian Goette, Nadine Große, Annette Huber-Klawitter, Stefan Kebekus

Time and place

Mo, 16-18h, HS II, Albertstr. 23b

Teacher: Nadine Große, Sebastian Goette

Time and place

Q&A session: Do, 12-14h, , online
Sit-in exam 21.09., 00:00-00:00
Sit-in exam (resit) 28.03., 09:00-13:00

Teacher: Sebastian Goette
Assistant: Jonas Schnitzer
general:

Applied Mathematics (MSc14)
Pure Mathematics (MSc14)
Mathematical Concentration (MEd18, MEH21)
Compulsory Elective in Mathematics (BSc21)

Time and place

Lecture: Di, 10-12h, , online

Teacher: Sebastian Goette
general:

Compulsory Elective in Mathematics (BSc21)
Supplementary Module in Mathematics (MEd18)

Time and place

Mo, 16-18h, bbb-Raum "Anderssen", online

Teacher: Sebastian Goette, Nadine Große, Katrin Wendland

Time and place

Mi Do, 14-16h, bbb-Raum des Graduiertenkollegs, online

Teacher: Andriy Haydys, Annette Huber-Klawitter, Fritz Hörmann, Stefan Kebekus, Sebastian Goette, Nadine Große, Wolfgang Soergel, Katrin Wendland
Assistant: Jonas Schnitzer

Time and place

Lecture: Di, Do, 10-12h, SR 404, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette
Assistant: Jonas Schnitzer
general:

Compulsory Elective in Mathematics (BSc21)

Time and place

Di, 14-16h, SR 127, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette
Assistant: Jonas Schnitzer

Supplementary Module in Mathematics (MEd18)
Compulsory Elective in Mathematics (BSc21)

Time and place

Mo, 16-18h, SR 404, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette, Nadine Große, Katrin Wendland

Time and place

Mi, 14-16h, SR 404, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette, Nadine Große, Andriy Haydys, Stefan Kebekus, Wolfgang Soergel, Katrin Wendland

Time and place

Fr, 14-17h, wechselnder Hörsaal, -

Teacher: Andreas Buchleitner, Sebastian Goette, Nadine Große, Wolfgang Soergel, Katrin Wendland

Time and place

Lecture: Di, Do, 10-12h, HS II, Albertstr. 23b

Teacher: Sebastian Goette
Assistant: Severin Barmeier
general:

Compulsory Elective in Mathematics (BSc21)

Time and place

Di, 14-16h, SR 414, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette
Assistant: Ksenia Fedosova

Supplementary Module in Mathematics (MEd18)
Compulsory Elective in Mathematics (BSc21)

Time and place

Mi, 14-16h, SR 404, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette, Nadine Große, Andriy Haydys, Annette Huber-Klawitter, Wolfgang Soergel, Katrin Wendland, Stefan Kebekus

Time and place

Mo, 16-18h, SR 404, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette, Nadine Große, Katrin Wendland

Time and place

Fr, 14-17h, wechselnder Hörsaal, -

Teacher: Andreas Buchleitner, Sebastian Goette, Nadine Große, Wolfgang Soergel, Katrin Wendland

Time and place

Lecture: Mi, Mo, 10-12h, HS Weismann-Haus, Albertstr. 21a
Sit-in exam 18.09., 08:00-13:00
Sit-in exam (resit) 24.01., 09:00-12:00

Teacher: Sebastian Goette
Assistant: Martin Kalck
general: , ,

Mathematical Concentration (MEd18, MEH21)
Compulsory Elective in Mathematics (BSc21)
Pure Mathematics (MSc14)

Time and place

Mo, 14-16h, SR 125, Ernst-Zermelo-Str. 1

Teacher: Andriy Haydys, Sebastian Goette
Assistant: Sebastian Goette, Nadine Große

Compulsory Elective in Mathematics (BSc21)

Time and place

Mo, 16-18h, SR 404, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette, Nadine Große, Katrin Wendland

Time and place

Mi 14-16h, SR 404, Ernst-Zermelo-Str. 1, Di, 12-14h, SR 218, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette, Nadine Große, Annette Huber-Klawitter, Andriy Haydys, Wolfgang Soergel, Katrin Wendland

Time and place

Fr, 14-17h, wechselnder Hörsaal, -

Teacher: Andreas Buchleitner, Sebastian Goette, Nadine Große, Wolfgang Soergel, Katrin Wendland

Time and place

Lecture: Di, Do, 10-12h, HS II, Albertstr. 23b

Teacher: Sebastian Goette
Assistant: Doris Hein
general:

Compulsory Elective in Mathematics (BSc21)

Time and place

Di, 14-16h, SR 403, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette
Assistant: Doris Hein

Undergraduate Seminar (2HfB21, BSc21, MEH21, MEB21)

Time and place

Mo, 16-18h, SR 404, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette, Nadine Große, Katrin Wendland

Time and place

Mi, 14-16h, SR 404, Ernst-Zermelo-Str. 1

Teacher: Sebastian Goette, Nadine Große, Annette Huber-Klawitter, Stefan Kebekus, Wolfgang Soergel, Katrin Wendland, Andriy Haydys, Fritz Hörmann

Time and place

Fr, 14-17h, wechselnder Hörsaal, -

Teacher: Andreas Buchleitner, Sebastian Goette, Nadine Große, Emmanuel Scheidegger, Wolfgang Soergel, Katrin Wendland