## Bruno Benedetti

##### Assistant Professor

*Education:*TU Berlin, 2010

*Research Area:*Geometric Combinatorics

*Office*: Ungar 533

*Tel*: 305.284.8652

**Currently teaching**

** Optimization methods for Mathematical Finance**

**MATH 645 S, Fall 2018**- Syllabus - simplex method

*Optimization means figuring out the best possible solution under given constraint. As you can imagine, this theory is applied over and over in mathematical finance - from Portfolio Managing to Mean Variance Optimization, from Short Term Financing to Capital Allocation Models. This course will teach you the mathematical model behind. If you wish to warm up, review Lagrange multipliers from Calculus, and expectation and covariance from Probability.*

** Polytopes**

**MATH 785 Q, Fall 2018**- Syllabus - Exercises: 1 -

*Discrete objects like cubes, pyramids, prisms... exist in nature, in architecture, in engineering. They've been studied since the early days of math, yet they're been revived by the advent of computers. Polytopes have connections both to pure mathematics (e.g. Stanley-Reisner rings, triangulations of manifolds, combinatorics) and to applications (e.g. Voronoi diagrams, linear optimization, CGI).*

Come by for a crash course!, stay for the pictures. Accessible also to talented seniors, upon request.

If you wish to warm up, a summer reading I recommend is the phylosophy book by Lakatos, Proofs and Refutations; here is a free copy of chapter 1 that you should be able to read before the course.

Come by for a crash course!, stay for the pictures. Accessible also to talented seniors, upon request.

If you wish to warm up, a summer reading I recommend is the phylosophy book by Lakatos, Proofs and Refutations; here is a free copy of chapter 1 that you should be able to read before the course.

**Basic courses I taught**

** Survey of Modern Algebra**

**MATH 461 G, Spring 2018**- Syllabus

**MATH 461 D, Spring 2017**- Syllabus

**MATH 461 D, Spring 2016**- Syllabus - a note on a non-UFD ring.

** Discrete Mathematics**

**MATH 309D, Spring 2018**- Syllabus

** Topology I**

**MATH 531O and 631O, Spring 2016**- Syllabus

** Linear Algebra **

**MATH 210 O, Fall 2015**- Syllabus - Weekly assignments

** Introduction to Ordinary Differential Equations **

**MATH 311 P, Fall 2015**- Syllabus - Weekly assignments

** Calculus II**

**MATH 162 G7, Spring 2017**- Syllabus

**MATH 1342, Fall 2014**(at Northeastern University, Boston)

**Summer schools and advanced courses**

** Polytopes**

**MATH 786, Fall 2016**-- Syllabus

** for Institut Mittag-Leffler**

- Summer Program 2012, Discrete Morse theory & Commutative Algebra, organized with Alex Engström at Institut Mittag-Leffler, near Stockholm, Sweden; from July 18 to August 1, 2012.

** Applied Topology Schools **

- ACAT Summer school 2013, Computational topology & topological data analysis, in Ljubljana, Slovenia, July 1-5, 2013.
- Winter school HTCA 2015, Genoa, Italy, February 9-13, 2015.
- Summer school on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects, Institut Henri Poincare', Paris, June 18–22, 2018.

** Seminaire Lotharingien de Combinatoire**

- Lecture series on Some recents results on polytopes, Bertinoro, Seminaire Lotharingien de Combinatoire, September 6-9, 2015.

** for the Italian Ministry of Education**

- Summer school Geometry, graph theory and optimization (in Italian), organized with Lorenzo Orecchia after winning an Italian competition called ``Messaggeri della Conoscenza''; Bari, July 14-26, 2013.