### Lect. univ. dr. Ajdin Halilovic

## Contact Info

## Courses

2015/2016

Semestru 2:

Matematici Discrete - curs+seminar

Semestru 1:

Teoria Probabilitatilor si Statistica Matematica - curs+seminar

2014/2015

Semestru 2:

Matematici Discrete - curs+seminar

Inteligenta Artificiala - curs+seminar

Semestru 1:

Algebra Liniara si Geometrie Analitica si Diferentiala - curs

Teoria Probabilitatilor si Statistica Matematica - curs+seminar

2013/2014

Semestru 2:

Matematici Discrete - curs+seminar

Analiza Matematica 2 - seminar

Semestru 1:

Logica Matematica pentru Ingineri - curs+seminar

Analiza Matematica 1 - seminar

## Biography

**Education**

PhD degree from the University of Vienna, Faculty of Mathematics, Kurt Goedel Research Center for Mathematical Logic, Austria. Advisor: Sy D. Friedman, 2007 - 2010. PhD Thesis: The tree property (pdf). Committee: Menachem Magidor, Sy D. Friedman, Martin Goldstern.

Master degree from the University of Vienna, Faculty of Mathematics, Kurt Goedel Research Center for Mathematical Logic, Austria Advisor: Sy D. Friedman, 2002 - 2007. Master Thesis: PCF Theory and Cardinal Arithmetic (pdf).

ERASMUS Program: Fall 2005, University of Leeds, England

"Unsko-Sanski Koledz" Highschool in Bihac, Bosnia and Herzegovina, 1997 - 2001

**Academic Experience**

Lecturer at the Faculty of Engineering Sciences, Lumina - The University of South-East Europe, since August 2012

Postdoctoral research assistant at the Institute of Discrete Mathematics and Geometry, Vienna University of Technology, August 2011 - January 2012

Postdoctoral research assistant at the Kurt Goedel Research Center for Mathematical Logic, University of Vienna, January 2011 - June 2011

**Research Interests**

Commutative Algebra

Algebraic Coding Theory

Mathematical Logic

Discrete Mathematics, in particular The Stable Marriage Problem

Mathematics Education

**Publications**

1. The tree property at aleph_{omega+2} (with Sy D. Friedman), Journal of Symbolic Logic, Volume 76, no. 2 (2011), 477-490. (pdf)

2. The tree property at the double successor of a measurable cardinal kappa with 2^kappa large (with Sy D. Friedman), Fundamenta Mathematicae, Volume 223, no. 1 (2013), 55-64. (pdf)

3. A coloring property for stable allocations (with Teodor Turcanu), Mathematical Social Sciences, Volume 80 (2016), 65-69. (Publisher's website)

4. Gorenstein binomial edge ideals associated with scrolls (with Ahmet Dokuyucu and Rida Irfan), to appear in Communications in Algebra.

**Invited Talks**

The tree property at the double successor of a measurable cardinal kappa with 2^kappa large, Sy David Friedman's 60th-Birthday Conference, Vienna, Austria, July 8-12, 2013

The tree property at the double successor of a singular cardinal, Kurt Geodel Research Center for Mathematical Logic, Vienna, May 6, 2010

Gorenstein binomial edge ideal associated with scrolls, Simion Stoilow Institute of Mathematics of the Romanian Academy of Sciences, Bucharest, March 17, 2015

**Scientific Visits**

The Erwin Schrodinger International Institute for Mathematical Physics, Vienna, June 15- 27, 2009

**International Conference and Workshop Talks**

Gorenstein binomial edge ideals associated with scrolls, Workshop for Young Researchers in Mathematics, Constanta, Romania, May 21-24, 2015

On the importance of language in Mathematics, The 1st International Conference of Applied Modern Languages, Bucharest, Romania, May 16-17, 2014

The tree property at the double successor of a measurable cardinal kappa with 2^kappa large, Sy David Friedman's 60th-Birthday Conference, Vienna, Austria, July 8-12, 2013

**International Conference Participations**

Workshop for Young Researchers in Mathematics, Constanta, Romania, May 19-20, 2016

The First Romanian-Turkish Mathematics Colloquium, Constanta, Romania, October 14-18, 2015

The 23rd National School on Algebra, Bucharest, Romania, August 30 - September 5, 2015

1^{st} International Conference of Applied Modern Languages, Bucharest, Romania, May 16-17, 2014

Sy David Friedman's 60th-Birthday Conference, Vienna, Austria, July 8-12, 2013

WEI International Academic Conference, Zagreb, Croatia, October 14 - 17, 2012

Infinite and finite sets, Budapest, Hungary, June 13 - 17, 2011

Oberwolfach workshop in set theory, Germany, January 9 - 15, 2011

Young set theory workshop, Seminarzentrum Raach, Austria, February 15 - 19, 2010

ESI workshop on large cardinals and descriptive set theory, Vienna, Austria, June 14 - 27, 2009

**International Workshop and Seminar Participations**

Workshop for Young Researchers in Mathematics, Ovidius University, Constanta, Romania, May 21-24, 2015

Workshop on Logic and Computer Science, KGRC, Vienna, March 24-25, 2011

Workshop on Computable Model Theory, KGRC, Vienna, July 25-29, 2009

Finitary and Infinitary Logic, Joint Workshop between Vienna and St. Petersburg logic groups, KGRC, Vienna, June 4-6, 2009

**Grants **

European Science Foundation (ESF) Short Visit Grant, 2013

Dissemination - Unterstutzung von Konferenzteilnahmen fur den Wissenschaftlichen Nachwuchs, University of Vienna, 2010

**Project Participations**

Austrian Science Fund (FWF), Project P21968 (2019-2012), Project Lead: Martin Goldstern, Project Title: Set Theory: forcing, projective sets and morasses, Budget:

Austrian Science Fund (FWF), Project P19898 (2007-2010), Project Lead: Sy-David Friedman, Project Title: Set Theory: inner models, outer models, projective sets, Budget:

**Teaching**

Introduction to Theoretical Computer Science (in German, lecture), Fall 2008

Mathematical Logic for Engineers (in English, lecture + seminar), Fall 2012, Fall 2013

Mathematical Analysis 1 (in Romanian, seminar), Fall 2013

Mathematical Analysis 2 (in Romanian, seminar), Spring 2014

Discrete Mathematics (lecture + seminar), Spring 2014, 2015, 2016

Linear Algebra and Analytic and Differential Geometry (lecture), Fall 2014, 2015

Probability Theory and Mathematical Statistics (lecture+seminar), Fall 2014, 2015

Artificial Intelligence (lecture+lab), Spring 2015, 2016

**Departmental/University Services**

Member of the University Senate, 2013-2015

Alumni Coordinator, since 2014

Member of the Quality Assurance Division, since 2014

Organizer of Career Workshops, since 2015

**Miscellaneous**

Languages: Bosnian (Mother Tongue), English (fluent), German (fluent), Turkish (fluent), Croatian (fluent), Serbian (fluent), Romanian (fluent), Arabic (basic knowledge)

Mathematical software: Prolog, Magma, Singular

Hobbies: Sports, Reading, Traveling

## Research

## Publications

**Ajdin Halilovic**,

*The tree property at aleph_{omega+2}*, Journal of Symbolic Logic, Vol. 76, no. 2 (2011), 477-490. (Rank A journal acc. to Aust MS; 2011 Impact factor: 0.562) (pdf)

**Ajdin Halilovic**,

*The tree property at the double successor of a measurable cardinal kappa with 2^kappa large*, Fundamenta Mathematicae, Vol. 223, no. 1 (2013), 55-64. (Rank A journal acc. to Aust MS; 2012 Impact factor: 0.529) (pdf)

**Ajdin Halilovic**, Teodor Turcanu,

*A coloring property for stable allocations*, Mathematical Social Sciences, Vol. 80 (2016), 65-69. (2015 Impact factor: 0.462).

**Ajdin Halilovic**, Rida Irfan,

*Gorenstein binomial edge ideals associated with scrolls*, accepted for publication in Communications in Algebra. (2015 Impact Factor: 0.368).