**Webpage of
Christos Saroglou**

**Contact Information**

Christos Saroglou

Department of Mathematics, University of Ioannina, Greece

Office: 503 δ

E-mail: csaroglou@uoi.gr & christos.saroglou@gmail.com

Phone: (+30) (265100) 8239

**Employment**

2018- Assistant Professor, Department of Mathematics, University of Ioannina, Greece

2015-2018 Post-doctoral Research Associate, Kent State University, Kent, OH, USA

2012-2015 Visiting Assistant Professor, Texas A&M University, College Station, TX, USA

2011-2012 Post-doctoral Researcher, Tel Aviv University, Tel Aviv, Israel

**Papers and preprints ***

Characterizations of extremals for some functionals on convex bodies, Canad. J. Math., 62 (2010), 1404-1418. pdf

Volumes of projection bodies of some classes of convex bodies, Mathematika, 57 (2011), 329-353. pdf

Minimal surface area position of a convex body is not always an M-position, Israel J. Math., 195 (2013), 631-645. pdf

Comparing the M-position with some classical positions of convex bodies (joint work with E. Markessinis and G. Paouris), Math. Proc. Cambridge Philos. Soc., 152 (2011), 131-152. pdf

Shadow systems: remarks and extensions, Arch. Math., 100 (2013), 389-399. pdf

Remarks on the conjectured log-Brunn-Minkowski inequality, Geom. Dedicata, 177 (2015), 353-365.pdf

On the shape of a convex body with respect to its second projection body, Adv. in Appl. Math., 67 (2015), 55-74. pdf

On the equivalence between two problems of asymmetry on convex bodies, Disc. Comput. Geom., 54 (2015), 573-585. pdf

More on logarithmic sums of convex bodies, Mathematika, 62 (2016), 818-841.pdf

Characterization of simplices via the Bezout inequality for mixed volumes (joint work with I. Soprunov and A. Zvavitch), Proc. Amer. Math. Soc., 144 (12) (2016), 5333-5340. pdf

Iterations of the projection body operator and a remark on Petty's conjectured projection inequality (joint work with A. Zvavitch), J. Func. Anal., 272 (2) (2017), 613-630.pdf

Estimating volume and surface area of a convex body via its projections or sections (joint work with A. Koldobsky and A. Zvavitch), 2017, Studia Math., 244 (2019), 245-264. pdf

Star bodies with completely symmetric sections (joint work with S. Myroschnychenko and D. Ryabogin), Int. Math. Res. Not., Volume 2019, Issue 10, May 2019, 3015-3031. pdf

On some problems concerning symmetrization operators, Forum Math., 31 (2) (2019), 479-489. pdf

Wulff shapes and a characterization of simplices via a Bezout type inequality (joint work with I. Soprunov and A. Zvavitch), Adv. Math. 357 (2019), 106789, 24 pp. pdf

Functions with isotropic sections (joint work with I. Purnaras), Trans. Amer. Math. Soc., 374 (2021), no. 4, 3007-3024. pdf

On a non-homogeneous version of a problem of Firey, Math. Ann., 382, 1059-1090 (2022). pdf

A non-existence result for the L

_{p}-Minkowski problem, Proc. Amer. Math. Soc. (accepted for publication). pdfOn a j-Santaló conjecture (joint work with P. Kalantzopoulos), 2022 (preprint). pdf

* PDF files might be slightly different than the published versions

**Past and upcoming
events**

Convex geometry - Analytic aspects, Cortona (Italy), 25th -30th June 2023.

Convex Geometry and its applications, Mathematisches Forschungsinstitut Oberwolfach December 12-18, 2021.

Analysis Winter Meeting, December 23, 2019, Aristotle University of Thessaloniki, Greece.

Conference in honor of Vitali Milman's 80th birthday, July 29-August 2, 2019, Tel Aviv and the Dead Sea, Israel.

AIM workshop, Symmetry and convexity in geometric inequalities, May 20-24, 2019, American Institute of Mathematics, San Jose, CA, USA.

Asymptotic Geometric Analysis IV, July 1-6, 2019, Euler International Mathematical Institute, Saint-Petersburg, Russia.

First Congress of Greek Mathematicians, June 25-30, 2018 , Athens, Greece.

Convex Geometry and its applications, Mathematisches Forschungsinstitut Oberwolfach, December 9-15, 2018.

Emerging Trends in Geometric Functional Analysis, BIRS, Alberta, Canada, March 25-30, 2018.

Recent Advances in Discrete and Analytic Aspects of Convexity May, BIRS, Alberta, Canada 21-26, 2017.

Infinite Dimensional Analysis, in honor of Richard Aron, Kent State University, October 28-30, 2016.

Perspectives in Integral Geometry, Unversity of Georgia, Athens, GA, May 30-June 3, 2016.

Conference on Functional Analysis in Honour of Nicole Tomczak-Jaegermann, to be held at the University of Alberta, Edmonton, AB, Canada, May 16- 20, 2016.

Special session on "Convexity and Harmonic Analysis" at the AMS Sectional Meeting at North Dakota State University in Fargo, North Dakota, on April 16-17, 2016.

Informal Analysis Seminar, April 30-May 1, 2016, Kent State University, Kent, OH.

"Convex Geometry and its Applications", 12/06-12/12, 2015, Mathematisches Forschungsinstitut Oberwolfach, Germany.

Informal Analysis Seminar, November 14-15, 2015, Kent State University, Kent, OH.

"Analytic and Probabilistic Techniques in Modern Convex Geometry", November 7-9, 2015, University of Missouri, Columbia, MO.

CBMS Regional Conference in the Mathematical Sciences-"Introduction to the Theory of Valuations and Convex Sets'', August 10-15, 2015, Kent State University, Kent, OH, USA.

Informal Analysis and Probability Seminar, 10/17 - 10/19, 2014, University of Michigan, Ann Arbor, MI, USA.

"Geometric Tomography and Harmonic Analysis", 03/09-14/09, 2014, Banff International Reasearch Center, Alberta, Canada (BIRS).

Fall Central Sectional Meeting Washington University, Special Session on Convex Geometry and its Applications, 10/18-10/20, 2013, St. Louis, MO.

ISF Workshop on "Interactions between Asymptotic Geometric Analysis and Mathematical Physics", Eilat and Technion, Israel, 05/03-05/10, 2012.

13th Pan-Hellenic Analysis Conference, May 2010, University of Ioannina, Greece.

12th Pan-Hellenic Analysis Conference, May 2008, University of Athens, Greece.

Phenomena in high dimensions, 25-29 June 2007, Samos, Greece.

Algebraic and Geometric Combinatorics, July 2006, Anogia, Crete, Greece.

**Teaching Experience**

Fall 2019: Calculus I & Real Analysis at the University of Ioannina.

Spring 2019: Calculus II & Convex Analysis (graduate course) at the University of Ioannina.

Fall 2018: Calculus I at the University of Ioannina.

Spring 2018: Functions of real variable II (graduate course) at Kent State University.

Fall 2017: Functions of real variable I (graduate course) at Kent State University.

Spring 2017: Introduction to Analysis II at Kent State University.

Fall 2016: Analytic Geometry and Calculus III at Kent State University.

Spring 2016: Analytic Geometry and Calculus II at Kent State University.

Fall 2015: Analytic Geometry and Calculus I at Kent State University.

Summer 2015: Differential Equations at Texas A&M University.

Spring 2015: Engineering Mathematics II at Texas A&M University.

Spring 2014: Engineering Mathematics II at Texas A&M University.

Spring 2013: Engineering Mathematics II at Texas A&M University.