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

2023-           Associate Professor, Department of Mathematics, University of Ioannina, Greece

2018-2023   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

Curriculum Vitae

Papers and preprints *

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

18. A non-existence result for the L_p-Minkowski problem, Proc. Amer. Math. Soc. (accepted for publication). pdf

19. On a j-Santaló conjecture (joint work with Pavlos Kalantzopoulos), Geom. Dedicata, 217 (article # 91) (2023) . pdf

20. Uniqueness when the L_p curvature is close to be a constant for p∈[0,1) (joint work with Károly Böröczky), 63, article # 154 (2024). pdf

21. Complex and Quaternionic Analogues of Busemann's Random Simplex and Intersection Inequalities (joint work with Thomas Wannerer), 2024 (preprint). pdf

22. A note on the L_p-Brunn-Minkowski inequality for intrinsic volumes and the L_p-Christoffel-Minkowski problem (joint work with Konstantinos Patsalos), 2024 (preprint). pdf

* PDF files might be slightly different than the published versions

Past and upcoming events

• Convex Geometry in Florence 2024, Firenze (Italy), 12th -14th June 2024.

• 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.

    Students

• 2019-2020   Nestoras Karasavvaidis (Msc Student).

• 2023-           Lampros Athanassopoulos (Msc student).

• 2023-           Konstantinos Patsalos (PhD student).