Webpage of Christos Saroglou

    Christos Saroglou
    Post-doctoral researcher

    Contact Information
    Department of Mathematics
    800 E. Summit St., Kent, OH 44240
    Office: MSB 337
    E-mail: csaroglo@kent.edu

    Research Interests
    Convex Geometry, Functional Analysis, Geometric Probability, Isoperimetric Inequalities

Curriculum Vitae


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 position of convex bodies (joint work with E. Markessinis and G. 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 I. Soprunov and A. 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 A. 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 A. Koldobsky and A. Zvavitch), 2017, Studia Math. (accepted for publication). pdf

13.  Star bodies with completely symmetric sections (joint work with S. Myroschnychenko and D. Ryabogin), Int. Math. Res. Not., rnx211 (2017), https://doi.org/10.1093/imrn/rnx211 . pdf

14.  On some problems concerning symmetrization operators, 2017, preprint. pdf

15.  Wulff shapes and a characterization of simplices via a Bezout type inequality (joint work with I. Soprunov and A. Zvavitch), 2018, preprint. pdf



Recent and upcoming conferences



  •     Spring 2017: Functions of real variable I (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 (Calculus II) (at Texas A&M University).

  •     Spring 2014: Engineering Mathematics II (Calculus II) (at Texas A&M University).

  •     Spring 2013: Engineering Mathematics II (Calculus II) (at Texas A&M University).