VISITING MATHEMATICIANS

The following mathematicians have recently visited our department: 

Professor Karl Grosse-Erdmann obtained a Bachelor's degree from the University of Essex in Colchester, UK, in 1981, a Master's degree from the Technical University of Darmstadt in 1983, the PhD from the University of Trier in 1986, and the Habilitation from the University of Hagen in 1993 (all in Germany). He spent 1986/88 at Imperial College, London, UK, with a research grant from the DFG (Deutsche Forschungsgemeinschaft). He is presently assistant professor at the University of Hagen.

Dr. Grosse-Erdmann's main field of interest is functional analysis with a particular emphasis on the theory of sequence spaces and its applications, and the theory of hypercyclic operators. He is author of more than 20 research papers and the author of a recent Springer Lecture Note (The blocking technique, weighted mean operators and Hardy's inequality, 1998). Dr. Grosse-Erdmann was a visiting professor at the University of Ulm (1994) and at Ohio University (1995). He visited our department for the Fall and Winter quarters of the 1998-99 academic year.

Dr. Todd Eisworth obtained a BS degree in Mathematics from Louisiana State University, Baton Rouge in 1989 and a Ph.D. degree in Mathematics from the University of Michigan in Ann Arbor in 1994. His Ph.D. Thesis, written under the guidance of Prof. Andreas Blass, dealt with applications of the forcing method. He received the Sumner Myers Prize for 1994, an award that honors the best Ph.D. Thesis in Mathematics at the University of Michigan.

Since completing his Ph.D. thesis, Dr. Eisworth has spent three years at the University of Kansas and over a year at Hebrew University, Jerusalem. While at the University of Kansas, he became interested in applications of set theory to general topology.

He was able to solve several famous open problems in this area. Among other things, he showed that CH is consistent with the statement "all perfectly normal, countably compact spaces are compact", and, together with Peter Nyikos he showed that CH is consistent with the statement "every first countable, countably compact, non-compact T3-space contains a closed copy of w1".

Over the last year, Dr. Eisworth has been working with Prof. Shelah the world's leading set theorist. In particular, he has been studying pcf theory, a new subfield of set theory that has been developed by Prof. Shelah over the last decade. Pcf theory has been instrumental in the recent discovery of a number of surprising ZFC results about cardinal arithmetic and similar topics where the conventional wisdom had held for quite some time that only consistency results could be expected. The techniques of pcf theory seem to have a huge potential for further applications in such areas as set-theoretic topology.

Dr. Ioan Vrabie will also be visiting from the University of Iaasi in Romania. Professor Vrabie received his Ph.D. in Mathematics in 1980. His field of interest is nonlinear analysis and differential equations in Banach spaces.

Dr. Vrabie has also been a visiting professor at the University of Trieste,Italy; University of Complutense of Madrid, Spain; and University of Jyvaskyla, Finland. He has attended numerous conference s around the world. He has published many papers in prestigous mathematical journals, including some work co-authored with our own Professor Nick Pavel.

Professor George Morosanu will visit the Mathematics Department this fall quarter. Dr. Morosanu is a Professor of Mathematics at the University of Iasi, in Romania. It was there that he received his Ph.D. in 1981. His thesis was ent itled Qualitative Problems for Nonlinear Differential Equations of Accretive Type in Banach Spaces.

Professor Morosanu's research interests include evolution equations, ordinary and partial differential equations, nonlinear analysis, difference equations, and applied mathematics. In 1982, he received The Gheorghe Lazar Price of the Romanian Academy for his contributions concerning a class of hyperbolic partial differential systems.

Dr. Morosanu is a member of the editorial committee of the journal Analele stiintifice ale Univ. "Ovidius" in Romania. He currently has 10 postgraduates preparing their theses under his direction in the field of Functions and Applications. He has written over 60 publications.

Professor Ajit Iqbal Singh(nee Ajit Kaur Chilana) is a Professor of Mathematics at the University of Delhi. She works in Functional Analysis and Harmonic Analysis. She has published 29 research papers in reputed journals such as J.London Math.Soc.,Proc. Amer.Math. Soc., Pac.J.Math. and Memoirs Amer.Math.Soc.. The s include peredbation theory for line operators in locally convex spaces, topological algebras, spectral synthesis in hypergroups, multipliers and module homomorphisms, semigroup algebras,James space and algebras, multiplicative linear functionals on operator algebras, completely positive maps and hypergroup actions.Some of these papers are joint with her students or with other mathematicians. She has also written survey articles and jointly edited research monograph on her topics of research. She obtained her masters degree from the University of Delhi in 1965. She was a Commonwealth Scholar at Newnham College,Cambridge in 1966-69 and was awarded the Ph.D.degree by the University of Cambridge in 1969. She was held visiting positions at the University of Oregon, Eugene, USA (1976-77), Centre for Advanced Study in Mathematics, Panjab University,Chandigarh,India(1989-91), and Clark -Atlanta University,Atlanta,USA. She has visited the Technical University of Munich and The Institute of Biomathematics and Biometry,GSF National Research Centre at Neuherberg in Gemany, under the Indo-German Cultural Exchange Programme(1997). She has given invited talks at various International Conferences such as AMS-IMS-SIAM Joint Research Conference,Seattle,USA(1993), University of Arkansas(1977), and the University of Pittsburgh (1994). She has also given general and recreational mathematics lectures at schools and colleges and participated in high school level national book writing projects. Professor Singh visited our department during the winter and spring quarters of the 1997-1998 academic year.

Cecilia Cavaterra earned a Ph.D. in Mathematics from the University of Bologna in 1992. Her main research area is that of integrodifferential equations and inverse problems with applications in continuum mechanics. She is the author of important papers that appeared in the Journal of Integral Equations and Applications, Differential and Integral Equations, Quarterly of Applied Mathematics, Mathematical Models and Methods in the Applied Sciences and others.

Dr. Cavaterra was a visiting scholar at Rutgers University in 1992 and gave invited talks at the University of Tokyo (Japan), the Institute for Applied Mathematics in Freiburg (Germany), and Ohio University (Athens). She visited our department spring quarter 1997-1998.

Professor Olga Sipacheva was born on October 13, 1965, in Moscow. She was graduated from the Department of General Topology and Geometry (Mechanics and Mathematics Faculty) of Lomonosov Moscow State University in 1987 and received the Ph.D. degree in 1991 under the supervision of A.V.Arhangelskii.

The subject matter of her dissertation was spaces of continuous functions with the topology of pointwise convergence. She now works at Lomonosov Moscow State University where she is a senior scientist at the Department of General Topology and Geometry and also teaches courses for undergraduate mathematics majors.

Sipacheva obtained her first significant results (on the structure of free topological groups) in 1985. A year later, she won first prize at a competition of students' research work at Moscow State University for the work entitled ``Zero-Dimensionality and Completeness in Free Topological Groups''. Her research interests are related to topological algebra, set-theoretic topology, and function spaces.

Sipacheva has made important contributions to the theory of free topological groups and to $C_p$-theory. She obtained original descriptions of the topology of a free group. She has characterized all subspaces $Y$ of an arbitrary space $X$ such that the free group of $Y$ is naturally embedded in the free group of $X$. She has also characterized those spaces $X$ with a complete free group and all spaces with a stratifiable free group. She proved that zero-dimensionality of a space $X$ implies zero-dimensionality (in a weaker sense) of its free group. She obtained new characterizations for Eberlein and Corson compacta and developed a new method for handling iterated $C_p$-spaces. She also proved that any compact Maltsev space is a retract of a topological group and constructed (jointly with P.M.Gartside and E.A.Reznichenko) the first example of a Maltsev space that is not a retract of a topological group. Dr.E.A.Reznichenko, Professor Sipacheva's husband, is an outstanding topologist, and they fruitfully collaborate. Their son Aleksandr was born on August 31, 1989.

Professor Sipacheva visited our department in 1993--1994 and again during the winter quarter of 1998. 

Dr. Piotr Koszmider obtained his M.A. from Warsaw University in 1988 and his Ph. D. from University of Toronto in 1992.  His advisor for the M.A. was Prof. Winfried Just of our department, while his advisors for the Ph. D. were Professors F. Tall and W. Weiss, the same couple under which Prof. Paul Szeptycki of our department obtained his Ph. D. in 1993. Since obtaining his Ph.D., Dr. Koszmider has been the Natural Science and Engineering Research Council of Canada fellow at York University, Canada, and at The Hebrew University of Jerusalem, Israel.  Dr. Koszmider obtained a National Science Foundation grant at Auburn University USA for the years 95-97. His research interests are set-theory, set-theoretic and general topology, the forcing method, and the theory of Boolean algebras. For more information on his research see http://www.math.ohiou.edu/~piotr/stronamat.html.  Dr. Koszmider was visited our department fall quarter and winter quarters 1997-1998. 
Professor Shengwang Wang visited our department during the fall and winter quarters of 1997-98.  Professor Wang was born in China on November 15, 1932. He received a Bachelor's degree of Sciences in 1956 at Nanjing University where, four years later, he also received the Ph. D. In the late fifties and early sixties, Professor Wang's interest focused on the theory of nonlinear operators. His results in this area were adopted by famous mathematicians in Russia and Germany and reported in prestigious mathematical monographs. After the cultural revolution, Professor Wang turned his interest to the area of linear operator theory, in particular, the area of local spectral theory. In 1984-1985, he gave an affirmative answer to the open question of whether the SDP of T^* implies the same property of T for both bounded and unbounded cases. This question had been left open for over twenty years since C. Foias established the theory of decomposable operators in 1963. Since 1993, Professor Wang started his research in the area of regularized semigroups and integrated semigroups. Professor Wang has been involved in a research program with several US mathematicians, including Ivan Erdelyi, Ridgley Lange and Ralph deLaubenfels. During the eighties and nineties, Professor Wang visited the University of Pennsylvania, Temple University, Central Michigan University, the University of Pittsburgh and Ohio University. In his mathematical research work, Professor Wang has written seventy-four papers, published by prestigious Mathematical Journals, such as Trans. Amer. Math. Soc., J. Funct. Anal., Pacific J. Math., Tohoku J. Math., Israel J. Math., J. Math. Anal. & Appl., Studia Math., Dold. Acad. Nauk SSSR, etc. Professor Wang is also the author or editor of the following monographs and books:
    A Local Spectral Theory for Closed Operators, Lect. Note Series, London Math. Soc, V.105 (1985) (with I. Erdelyi).

    New Approaches in Spectral Decomposition, Contemporary Math. Amer. Math. Soc. V. 128 (1992) (with R. Lange).

    Functional Analysis in China (Editor), Kluwer Acad. Publ. House, Holland, 1996.

    Theory of Functions of real variables and Functional Analysis,   Higher Edu. Co. (1992) (Chinese, with Wiexian Zheng).

Professor Vladimir Uspenskiy was born on the 30th of January, 1959, in Moscow. He studied at the Department of Mechanics and Mathematics of the Lomonosov Moscow University, and completed his Ph.D. thesis titled ``On the topological structure of topological groups and function spaces" in 1984 under the supervision of A.V. Arhangel'skii. Since completing his Ph.D. Uspenskiy has worked at the Insitute for Physics of the Earth and taught at the International Moscow University and the Moscow High School for Economics. He was a 1993-94 recipient of a Humboldt Research Fellowship and worked at the Mathematical Institute in Munich, Germany. In 1996 he held a visiting position at the University of Florida. His research interests are connected with set-theoretic topology, topological algebra, functional analysis. Two samples of his important contributions: 1. S.Ulam asked in the 50's whether there exists a universal topological group with a countable base, that is such a group $G$ that every topological group $H$ with a countable base is isomorphic to a topological subgroup of $G$. I proved that such a universal group does exist. The group of all self-homeomorphisms of the Hilbert cube can serve as an example. 2. For any category $K$ the notion of an epimorphism can be defined: a morphism $f:X\to Y$ is an epimorphism if for any object $Z$ the dual map $f^*:Mor(Y,Z)\to Mor(X,Z)$ is injective. Let $K$ be one of the following categories: (1) Hausdorff spaces; (2) Tikhonov spaces; (3) Hausdorff Abelian topological groups. Then a morphism $f$ in $K$ is an epimorphism in the above sense if and only if $f$ has a dense range. The problem was posed in the 60's whether the same is true for the category of all (not necessarily Abelian) Hausdorff topological groups. In 1993 I answered this question in the negative. This means that there exist a topological group $G$ and a proper closed subgroup $H$ of $G$ such that any two morphisms $f,g:G\to G'$ with $f|H=g|H$ must be equal. Professor Uspenskiy's wife, Vera, is a filologist. She speaks Hungarian and German.  Their son Andrey was born on October 2nd, 1992. Professor Uspenskiy visited our department during fall quarter 1997-1998. 

Professor Vladimir M. Kadets was born November 15, 1960, in Kharkov, Ukraine.  He received an  M.Sc. from Kharkov State University in 1982.  His thesis title for the M.Sc. degree is On Lipschitzian mappings of metric spaces.  Professor Kadets completed his Ph.D. from - Rostov-on-Don University (Russia) in 1985, with a dissertation entitled On selected finite properties of Banach spaces.  Later on, he was habilitated as a Doctor in Mathematics at   Warsaw University in1991.  During the years 1985 - 1990, Professor Kadets was with the faculty at the Department of Mathematics of the Kharkov Institute for Civil Engineering.  Since 1990, he has been with the Department of Mechanics and Mathematics of Kharkov State University.  His Fields of interest are Functional Analysis, Banach Space Theory, Operator Theory, Vector Measures and Integration. For many years, Professor Kadets has worked with a circle of problems, connected with series in Banach spaces, especially with terms permutation.   At the time, he is working mostly with the so called Daugavet equation for operators. Professor Kadets is the author of more than 40 scientific articles and 2 monographs - Rearrangement of series in Banach spaces and Series in Banach spaces. Conditional and unconditional   convergence, the last one joint with his father - M.I.Kadets.  Professor Kadets is the recipient of multiple grants and awards, including the   Kharkov Mathematical Society Award for the best mathematical work of the year of 1989, the International Science Foundation Grant - 1994, and the "Soros Associate Professor" - 1996. Professor Kadets comes from a very mathematical family.  His father,and his wife,  as well as his wife's father and mother all are mathematicians. The rest of family, excepting two young kids, all have mathematical education and work as computer programists or school teachers. Professor Kadets visited our department during the fall quarter 1997-1998. 

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This file (http://www.math.ohiou.edu/~slopez/priorvst.html) created and maintained by Jeffrey Anderson.  Last updated 7/10/98.