


Vlad
Yaskin
Department of Math & Stat Sciences
University of Alberta
Phone: (780) 4920216
Email:
 "A solution to the Fifth and the Eighth BusemannPetty problems in a small neighborhood of the Euclidean ball ", (with M. Angeles Alfonseca, Fedor Nazarov, Dmitry Ryabogin), submitted.
 "Unique determination of ellipsoids by their dual volumes and the moment problem", (with Sergii Myroshnychenko and Kateryna Tatarko) International Mathematics Research Notices, accepted.
 "An extension of polynomial integrability to dual quermassintegrals", International Mathematics Research Notices 13 (2020), 39783990.
 "Applications of Grünbaumtype inequalities", (with Matthew Stephen), Trans. Amer. Math. Soc. 372 (2019), 67556769.
 "Busemann's intersection inequality in hyperbolic and spherical spaces", (with Susanna Dann and Jaegil Kim), Adv. Math. 326 (2018), 521560.
 "Grünbaumtype inequality for logconcave functions", (with Mathieu Meyer, Fedor Nazarov, and Dmitry Ryabogin), Bull. Lond. Math. Soc. 50 (2018), 745752.
 "On polynomially integrable convex bodies", (with Alexander Koldobsky and Alexander Merkurjev), Adv. Math.
320 (2017), 876886.
 "On sections of convex bodies in hyperbolic space ", (with K.L.H. Hiripitiyage), J. Math. Anal. Appl. 445 (2017), 13941409.
 "On the volume of sections of a convex body by cones", (with Matthieu Fradelizi and Mathieu Meyer), Proc. Amer. Math. Soc. 145 (2017), 31533164.
 "Distribution functions of sections and projections of convex bodies", (with Jaegil Kim and Artem Zvavitch), J. London Math. Soc. 95 (2017), 5272.
 "Unique determination of convex lattice sets", (with Dmitry Ryabogin and Ning Zhang), Discrete & Computational Geometry 57 (2017), 582589.
 "Noncentral sections of convex bodies", (with Ning Zhang), Israel J. Math. 220 (2017), 763790.
 "Stability results for sections of convex bodies", (with Matthew Stephen), Trans. Amer. Math. Soc. 369 (2017), 62396261.
 "Thick sections of convex bodies", (with Maryna Yaskina), Advances in Applied Mathematics, 71 (2015), 174189.
 "Counterexamples to convexity of kintersection bodies", Proc. Amer. Math. Soc., 142 (2014), 43554363.
 "Harmonic Analysis and Uniqueness questions in Convex Geometry", (with Dmitry Ryabogin and Artem Zvavitch), in Recent Advances in
Harmonic Analysis (in honor of K. Oskolkov's 65th birthday), Springer Proceedings in Mathematics 25 (2013), 327337.
 "On counterexamples in questions of unique determination of convex bodies", (with Dmitry Ryabogin), Proc. Amer. Math. Soc. 141 (2013), no. 8, 28692874.
 "Detecting symmetry in star bodies", (with Dmitry Ryabogin), J. Math. Anal. Appl., 395 (2012), 509514.
 "A problem of Klee on inner section functions of convex bodies", (with Richard Gardner, Dmitry Ryabogin, Artem Zvavitch), J. Differential Geom. 91 (2012), 261279.
 "The geometry of $p$convex intersection bodies", (with Jaegil Kim and Artem Zvavitch), Advances in Math. 226 (2011), 53205337.
 "On perimeters of sections of convex polytopes", J. Math. Anal. Appl. 371, no. 2 (2010), 447453.
 "Unique determination of convex polytopes by noncentral sections", Math. Ann. 349, no. 3 (2011), 647655.
 "A Fourier transform approach to Christoffel's problem" (with P.Goodey and M.Yaskina), Trans. Amer. Math. Soc., 363 (2011), 63516384.
 "On Fourier transform techniques in convex geometry", in Proceedings of the international conference "Geometry 'in large', Topology and Applications" dedicated to the 90th birthday of A.V.Pogorelov, 152  161, Kharkov, Ukraine, October 2010, ACTA.
 "Fourier transforms and the FunckHecke theorem in
convex geometry" (with P.Goodey and M.Yaskina), J. London Math. Soc. (2) 80 (2009) 388404.
 "On strict inclusions in hierarchies of convex bodies", Proc. Amer. Math.
Soc., 136 (2008), 32813291.
 "Modified Shephard's problem on projections of convex bodies", Israel J. Math., 168 (2008), 221238.
 "Inequalities of the KahaneKhinchin type and sections of $L_p$balls", (with A.Koldobsky and A.Pajor), Studia Math. 184 (2008), 217231.
 "The geometry of $L_0$" (with N.J.Kalton, A.Koldobsky and M.Yaskina), Canadian J. Math. 59 no. 5 (2007), 10291049.
 "A solution to the lower dimensional BusemannPetty problem in the hyperbolic space" , J. Geom. Anal. 16 (2006), no. 4, 735745.
 "Centroid bodies and comparison of volumes" (with M.Yaskina),
Indiana Univ. Math. J. 55 (2006), no. 3, 11751194.
 "The BusemannPetty problem in hyperbolic and spherical spaces",
Advances in Math. 203 (2006), no. 2, 537553.
 "Modified BusemannPetty problem on sections on
convex bodies"
(with A.Koldobsky and M.Yaskina), Israel J. Math. 154 (2006), 191208.
 Totally geodesic submanifolds of surfaces with the revolution group
$SO(2)\times SO(2)$,
Kharkov University Vestnik, 475, (2000), 282295. (Russian)
 Totally geodesic submanifolds of hypersurfaces of revolution in the Euclidean
space,
Mat. Fiz. Anal. Geom. 6 (1999), no 1/2, 182188. (Russian)
 "A guide to Morgan and Shalen" (with S.Dostoglou and M.Yaskina).
