Prof. Dr. Alexandra Schwartz

Research topic

Discrete-Nonlinear Optimization

Contact information

Address:

Dolivostraße 15

D-64293 Darmstadt

Germany

Phone:

+49 6151 16 - 24410

Fax:

+49 6151 16 - 24404

Office:

S4|10-234

Email:

schwartz (at) gsc.tu...

Consultation hours

  • Tuesday, 13:30 to 15:00, starting on October 16th, ending on February 12th.
  • No office hours on October 16th, November 13th, December 25th, and January 1st
  • Before and after the winter term please contact me via email to arrange an appointment

Curriculum Vitae

If you want to know more about me, please have a look here.


Upcoming Events

  • SPP1962: Annual Women's Meeting at JMU Würzburg on July 16th and 17th

Teaching

Lectures and Seminars

In the current term I am teaching the classes below. Detailed information on my teaching in previous and upcoming terms can be found here.

  • Game Theory (2+1, in German or English, Bachelor): A lecture on basic concepts from game theory such as Nash equilibria, existence of solutions as well as algorithms for the computation of the latter.  After registering for the course in TUCaN you can find more information and all material in moodle.
  • Master Seminar in Optimization (in German and English, Master): A seminar course on topics from nonlinear optimization together with Stefan Ulbrich.  After registering for the course in TUCaN you can find more information and all material in moodle.
  • Bachelor Seminar in Optimization (in German and English, Bachelor): A seminar course on topics from nonlinear optimization together with Stefan Ulbrich.  After registering for the course in TUCaN you can find more information and all material in moodle.

My lecture notes from previous classes can be downloaded here:

Bachelor and Master Theses

  • If you are interested in writing your bachelor thesis under my supervision, please have a look here.
  • If you are interested in writing your master thesis under my supervision, please have a look here

For Schools

To show pupils how versatile mathematics can be and where it is used in our everyday life, the department of mathematics has created the program Math on Demand. Members of the department offer presentations and classes on a wide range of topics from mathematics. Interested schools can book these for individual classes or bigger groups. The presentations are either held at the school or the pupils can visit us at the department.

Within this program, I offer the following presentations:

For a complete list of all presentations or a booking please visit Math on Demand.

Some of my previous activities for pupils and schools can be found here.


Research

Research Interests

  • Mathematical Programs with Complementarity Constraints or Vanishing Constraints 
  • Mathematical Programs with Cardinality Constraints and Sparse Optimization
  • Generalized Nash Games and Hierarchical Games
  • Applications thereof, e.g. Contest Design Problems, Truss Design and Computation Offloading

Research Group

Research Projects

Latest Publications

Below are some of my latest publications and preprints. For a complete list of all my publications please have a look here.

  • Daniel Nowak, Tobias Mahn, Hussein Al-Shatri, Alexandra Schwartz, and Anja Klein: A Generalized Nash Game for Mobile Edge Computation Offloading, accepted at IEEE Mobile Cloud 2018
  • M. Bucher and A. Schwartz: Second Order Optimality Conditions and Improved Convergence Results for a Scholtes-type Regularization for a Continuous Reformulation of Cardinality Constrained Optimization Problems, 2018, accepted and Journal on Optimization Theory and Applications (Preprint)
  • M. Branda, M. Bucher, M. Červinka, and A. Schwartz: Convergence of a Scholtes-type Regularization Method for Cardinality-Constrained Optimization Problems with an Application in Sparse Robust Portfolio Optimization, 2017, accepted at Computational Optimization and Applications (Preprint, this is an extended version of this research report)
  • M. Červinka, C. Kanzow, and A. Schwartz: Constraint Qualifications and Optimality Conditions of Cardinality-Constrained Optimization Problems, Mathematical Programming 160, p. 353-377, 2016 ( JournalPreprint)
  • O. Burdakov, C. Kanzow, and A. Schwartz: Mathematical Programs with Cardinality Constraints: Reformulation by Complementarity-type Constraints and a Regularization Method, SIAM Journal on Optimization 26, p. 397-425, 2016 ( JournalPreprint)

Upcoming Presentations

This year I am giving presentations at the following conferences and workshops. A complete list of all my past scientific presentations can be found here.

  • Mathematisches Kolloquium at TU Dresden
  • Fraunhofer ITWM Kaiserslautern
  • Winterschool "Modern Methods in Nonsmooth Optimization" at JMU Würzburg
  • Panel Discussion on "Wer treibt hier wen? - Digitalität in Wissenschaft und Gesellschaft", TU Darmstadt
  • TUDay at TU Darmstadt
  • ISMP Bordeaux

Contact

Technische Universität Darmstadt

Graduate School CE
Dolivostraße 15
D-64293 Darmstadt

Phone+49 6151/16-24401    or
-24402
Fax+49 6151/16-24404
OfficeS4|10-322

to assistants' office

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