CURRICULUM
VITAE
Malka Elisheva Schaps
(Mary Elizabeth Schaps)
Born
Immigrated
to
Married,
four children
Academic
Training:
Westinghouse Science Talent Search
Scholarship
Phi Beta Kappa, Sigma Xi
B.A. with Highest Honors
Woodrow Wilson Fellowship, 1969-1970
National Science Foundation
Fellowship, 1969-1971
Danforth Foundation Fellowship,
1969-1972
M.A., Mathematics, 1971
Ph.D., Mathematics, 1972
Thesis: Non-singular deformations of space curves, using determinantal schemes
Thesis advisors: Professor Heisuke Hironaka, 1970-1971
Professor David
Mumford, 1971-1972
Academic
and Research Positions:
Full
Professor,
Associate
Professor, Bar-Ilan University, 1991-2007
Senior
Lecturer, Bar-Ilan University, 1977-1991
Visiting
Lecturer, University of Pennsylvania, 1979-1980
Lecturer,
Tel-Aviv University, 1972-1977
Lecturer,
Harvard Summer School, 1975
Teaching
Assistant, Harvard, 1971-1972
Visitor,
Computer Center Research Group,
Research
Interests:
Algebraic
geometry, representations and deformations of algebras, modular group theory, Hecke
algebras, Broué conjecture, quivers of group
blocks, representations of semigroups, option pricing
Prizes:
|
Westinghouse
Science Talent Search Scholarship |
1965 |
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B.A.
with Highest Honors |
1969 |
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Woodrow
Wilson Fellowship |
1969-1970 |
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National
Science Foundation Fellowship |
1969-1971 |
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Danforth
Foundation Fellowship |
1969-1972 |
Professional Positions:
Bar-Ilan
University
Representative of the Associate Professors to the Faculty Senate,
2000-2002.
Representative of the Associate Professors to the Higher Academic
Council, 2004-2006.
Senate Teaching Committee, 2005-2006
Chair, Department of
Mathematics, academic years 2006/2007–2007/2008
Senate Ethics Committee, 2006-to date
Faculty Senate, 2008-to date
Alternate, Appointments committee, 2010-2012
Head, Financial Mathematics Program, 2008-2014
Dean, Faculty of
Exact Science, 2013-2015
Harvard Club of Israel
Co-President, 2002-2011
Treasurer, 2004-2020
Grants:
|
Funding Agency |
Years |
Sum |
Co-investigators |
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1980-1982 |
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----- |
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1987-1989 |
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----- |
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SERC |
1994 |
£400 |
Karin Erdmann |
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Bar-Ilan
Research Authority |
1995-1996 |
N.I.S.
24,000 |
----- |
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Bar-Ilan
Research Authority |
1998-1999 |
N.I.S.
26,500 |
----- |
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Bar-Ilan
Research Authority |
1999-2000 |
N.I.S.
17,500 |
----- |
|
Bar-Ilan
Research Authority |
2000-2001 |
N.I.S.
11,500 |
----- |
|
Royal
Society of |
2006 |
£900 |
Radha Kessar |
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Bar-Ilan Research Authority |
2008-2009 |
N.I.S 5000 |
|
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Bar-Ilan Research Authority |
2009-2010 |
N.I.S. 10,000 |
|
Supervising Graduate Students:
M.Sc. students in the past:
Evelyn Zakay-Illouz
Chedva
Meir
Orly
Shlomo
Dana Shapira
Esther Asraf
Shulamit
Reches
Daniel Natan
Ayala Bar-Ilan
Tzvia
Berrebi
Itay
Sharon
Louiza
Malcev
Tal Kedarer
Ruthi
Leabovich
Alex Smolyak
Orly
Barshefsky
Naim
Saruf
Erez
Yehezkel
Yona
Bendelac
Pavel Vodolazov
Shai Sarussi
Ofer
Alper
Zehava Zvi
Or Niv
Claudiu
Schiller
Yael Feter
Alexandra Osipov
Ph.D. students in the past:
Mina Teicher (unofficial)
Noach
Dana Picard
Orly
Shlomo
Evelyn Zakay-Illouz
Michal Weil
Ruthi
Leabovich
Yafit
Natani
Michal Weil
Ola Omari
Postdoctoral students in the past:
Dr. Hussam
Arisha
Dr. Mohamed Ali
Dr. Michal Weil
Ph.D
students at present:
Zehavit
Zvi
Daniel Libman
Co-organizer of Conferences:
Co-organizer
(with A. Joseph, A. Regev, S. Shnider): Workshop on
Quantum Deformations of Algebras and Their Representations, Bar-Ilan University, January 1992.
Co-organizer
(with S. Margolis, L. Rowen): Conference on Representations of Algebras, Groups
and Semi-groups, Bar-Ilan University, December 2007.
Co-organizer
(with Yaniv Zaks), Workshop on Financial Models: Academia and Commercial
Applications, Bar-Ilan
University, June 2008.
Co-organizer
(with Yaniv Zaks), Workshop on Financial Models: Academia and Commercial
Applications, Bar-Ilan
University, June 2010.
Co-organizer
(with Yaniv Zaks), Workshop on Financial Models: Academia and Commercial
Applications, Bar-Ilan
University, June 2012.
Co-Organizer
(with Prof. Jean-Pierre Fouque and Prof. Ely Merzbach) Sessions on Financial Mathematics, IMU-AMS
Conference, June 2014.
Co-Organizer
(with Prof. Jean-Pierre Fouque, Prof. Ely Merzbach, Prof. Mathieu Rosenbaum, Prof. Jeremy Schiff)
Conference on Financial Mathematics, June 2016.
Co-Organizer
(with Prof. Jean-Pierre Fouque, Prof. Ely Merzbach, Prof. Mathieu Rosenbaum, Prof. Jeremy Schiff)
Conference on Financial Mathematics, June 2018.
Reviewer for: Mathematical Reviews
Referee for:
J. Algebraic Combinatorics,
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Invited
address at Carghese Conference on Singularities: “Deformations non singulieres de courbes gauches” |
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Invited
address at Workshop on Geometry and Invariant Theory of Quivers: “Deformation
of tilting modules” |
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Lecture at
Conference on Group Representation Theory: “Deformations
of blocks of cyclic defect group” |
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Lecture at
Conference in Ring Theory: “Deforming group algebras” |
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Lecture at
Conference in Representation Theory: “Deformations
of group blocks” |
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Invited
addresses at Workshop on Donald Flanigan Problem: 1) “A survey of progress on the
Donald-Flanigan problem” 2)
2) “The solution to the
Donald-Flanigan problem for dihedral groups” |
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Lecture at
Conference on Ring Theory and Representation Theory: “The Donald-Flanigan
problem and the Hecke algebra of the symmetric group” |
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Lecture at
Conference on Representations of Algebras: “Separable
deformations of blocks with normal defect groups” |
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Lecture at
Conference on Tame Algebras, Representations, and Deformations: “Triangular
patches” |
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Lecture at
Symposium in Pure Mathematics-Group Representation Theory: “The Donald-Flanigan problem for local and global blocks of abelian defect
group” |
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Lecture at
the 4th Amitsur Algebra Symposium: “The Dade
group and the Brauer groups” |
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Lecture at Conference
on the Representation Theory of Algebras: “Quivers of skew group algebras” |
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Lectures at
Conference on Representations of Algebras: 1) “Folded tilting complexes of Brauer tree algebras” 2) “A computer system for
calculating McKay graphs and quivers of local blocks” |
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Lecture at
Conference on the Broué Conjecture: “Two-sided
combinatorial tilting complexes” |
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Lecture at
Conference on Representations of Algebras: “Deformations,
tilting, and group blocks” |
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Lecture at
Conference on Representations of Algebras: “Tilting
complexes with abelian defect” |
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Lecture at |
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Lecture at Conference
on Representations of Algebras: “Sl2-actions on spin representations of the
symmetric and alternating groups” |
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Lecture at International Congress of Mathematicians (ICM): “A
non-recursive criterion for weights of affine Lie algebra
representations” |
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Lccture at Workshop on
Morita Equivalence of Group Blocks "Morita
equivalence for non-principal blocks" |
Lausanne,
Switzerland, 2016 |
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Lecture at
Workshop on the Occasion of Arye Juhasz' 70th "Morita equivalence for
non-principal blocks" |
Haifa,
Israel, 2017 |
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Lecture at
Applications of Computer Algebra, "External Littelmann
Paths" |
Jerusalem,
Israel, 2017 |
Selected
Talks Not at Conferences:
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Lecture at |
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Colloquium at |
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Lecture at |
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Lecture at |
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Lecture at |
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Lecture at |
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Lecture at |
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Lecture at |
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Lecture at |
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Colloquium at |
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Lecture at |
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Lecture at Rheinishe-Westfahlischer Technische Hochschule |
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Lecture at |
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Lecture at |
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Lecture at |
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Lecture at |
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Lecture at |
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Lecture at University of Pennsylvania |
U.S.A.,2015 |
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Lecture at University of Pennsylvania |
U.S.A., 2016 |
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Lecture at University of Manchester |
UK, 2016 |
Academic Languages: English, Hebrew, French, German
Reading
Languages:
Yiddish, Italian, Biblical Aramaic
M. Schaps
List of Publications
1. Deformations non-singulieres
de courbes gauches, Asterisque 7 et 8 (1973), 121-128.
2. Determining subgroups of finite index
in a finitely generated group (with A. Dietze),
Canad. J.
Math. 26, no. 4 (1974), 769-782.
3. Deformations of Cohen-Macaulay schemes
of codimension 2, and non-singular deformations of space curves, Amer. J. Math. 99, no. 4,
669-685.
4. Non-singular deformations of a determinantal scheme, Pacific J. Math. 65 (1976), 209-215.
5. Birational
morphisms, factorizable by two monoidal transformations,
Math. Ann. 28 (1976), 209-215.
6. Deformations of generalized complete
intersections (with R. Mandelbaum),
Research Announcement,
Proc. Amer. Math. Soc. 61, no. 1 (1976), 7-10.
7. Smoothing perfect varieties (with R.
Mandelbaum), Proc. 1975 Summer Institute on Several Complex Variables 61, no. 1 (1976), 51-56.
8. On the smoothing and deformation of
perfect varieties (with R. Mandelbaum), Math. Ann. 226 (1977), 67-80.
9. On the partial multiplicities of a
product of two matrix polynomials (with L. Rodman), Integral Equations and Operator Theory 2/4 (1979),
565-599.
10. Birational
morphisms of algebraic 3-folds, collapsing three surfaces to a curve, Duke
Math. J. 48, no. 2 (1981), 401-420.
11. Versal determinantal deformations, Pacific J. Math. 107, no.1 (1983), 213-221.
12. The combinatorics of alternative
factorizations (with
13. Appendix to "On toroidal embeddings
of 3-folds" (paper by M. Teicher), Israel J. Math. 57, no. 1 (1987), 65-67.
14. Moduli of commutative and
non-commutative finite covers, Israel J. Math. 58, no. 1 (1987), 57-101.
15. Deformations of finite-dimensional
algebras and their idempotents, Trans. Amer. Math.
Soc. 307, no. 2 (1988), 843-856.
16. Deformations of tilting modules (with D.
Happel), Perspectives in Ring Theory, NATO ASI Series, Kluwer Academic
Publisher (1988), 1-20.
17. Deformations of algebras and Hochschild cohomology,
Perspectives in RingTheory, NATO ASI Series, Kluwer Academic Publishers (1988),
41-58.
18. Report and open problems from a Workshop
on Geometry and Invariant Theory of Quivers, Perspectives
in Ring Theory, NATO ASI Series, Kluwer Academic Publishers (1988), 59-68.
19. Combinatorial analysis of point
obstructions to local factorizability in three-folds,
Hokkaido J. Math.
XVIII, no. 3 (1989), 397-458.
20. Deforming group algebras, Ring Theory
1989, IMCP, Vol. 1, Weizmann Science Press (1989), 79-83.
21. Integral and p-modular semisimple deformations for p-solvable groups of finite
representation type, Austral. J. Math.
(Series A) 50 (1991), 213-232.
22. Classifying generic algebras (with Th.
Dana-Picard), Rocky Mountain J. Math. 22, no. 1 (1992), 125-155.
23. An infinite class of generic local
algebras, Archiv der Mathematik 61
(1993), 221-228.
24. Deformation of tame blocks and related
algebras (with Karin Erdmann), Proceedings of the Conference on Quantum Deformations of Algebras
and Their Representations, Israel Math. Conf.
Proc. 7 (1993), 25-44.
25. A computer assisted project:
Classification of algebras (with Th. Dana Picard), Proc. Cortina
Conference on Computer Algebra (1993), 71-83.
26. A
modular version of Maschke's theorem for groups with
cyclic p-Sylow subgroup, J. Algebra
163
(1994), 623-635.
27. Liftable deformations and Hecke algebras, Algebraic Groups
and Generalizations, Classical
Methods,
Amer. Math. Soc. (1994), 155-173.
28. The
modular version of Maschke's theorem for normal
abelian p-Sylows (with M. Gerstenhaber), Journal of Pure and Applied Algebra 109 (1996), 257-264.
29. Separable
deformations of blocks with normal defect groups (with C. Mejer),
Canadian Math. Soc. Conf.
Proc. 18 (1996), 505-517.
30. Classifying
generic algebras: the local case (with Th. Dana-Picard), Houston J. Math. 22, no.
4
(1996),
749-773.
31. Hecke
algebras, Uqsln,
and the Donald-Flanigan conjecture for Sn (with M.
Gerstenhaber),
Trans.
Amer. Math. Soc. 349, no. 8 (1997), 3353-3371.
32. Non-reduced
components of Algn (with Th. Dana-Picard),
Canadian Math. Conf. Proc. 24 (1998),
111-120.
33. Quivers
of blocks with normal defect group (with D. Shapira and
O. Shlomo), Proc. Symp. Pure Math. 63
(1998), 497-510.
34. Quivers
of groups with normal p-subgroups, Commun. Algebra 27
(5) (1999),
2231-2242.
35. Hecke
algebras and separable deformations of dihedral groups (with M. Peretz), The Far East J. Math, 1,
no. 1 (1999), 17-25.
36. Graphical
methods for representations of associative algebras (with Th. Dana-Picard),
Missouri J. Math, 12, no. 3
(2000), 183-192.
37. Combinatorial
partial tilting complexes for the Brauer Star
algebras (with E. Zakay-Illouz),
Representations
of Algebra, Kluwer (2001), 187-207.
38.
The Donald-Flanigan
problem for finite reflection groups (with M. Gerstenhaber and
A. Giaquinto),
Letters in Mathematical Physics 56 (2001), 41-72.
39.
Pointed Brauer
trees (with E. Zakay-Illouz), J. Algebra 246 (2001),
647-672.
40. Braid group action on the refolded
tilting complexes of the Brauer algebra (with E. Zakay-Illouz),
Proceedings ICRA IX,
41. Folded tilting complexes for Brauer tree algebras (with J. Rickard), Advances in Math.
171
(2002), 169-182.
42. A network of weighted majority rules and
their geometric realizations (with D. Karotkin),
Games and Economic Behavior 42
(2003), 75-90.
43. Homogeneous deformations of Brauer tree algebras (E. Zakay-Illouz), , Commun. Algebra
31 (11)
(2003), 5243-5253.
44. Specialization of crossed products, , Commun. Algebra
31, no. 12 (2003), 5781-5792.
45. Two-dimensional pattern matching with
rotation (with A Amir,
A. Butman, M. Crochemore,
G.M. Landau), Theoret.
Computer Sci. 314, no.1-2 (2004), 173-187.
46.
Deformations,
tiltings, and decomposition matrices, Proc.ICRA X, Fields
Institute
Communications 45 (2005), 345-355.
47.
Explicit tilting complexes (with
A. Bar-Ilan, T. Berrebi, G.
Chereshnya, M. Cohen, R. Leabovich),
Groups St. Andrews 2005, London Math. Soc. Lect. Notes in Math.,
48.
Crossover Morita equivalences in
blocks of covering groups of symmetric and alternating groups (with R. Kessar), J. Group Theory 9 (2006), 715-730.
49.
Logarithmic growth of systole of
arithmetic Riemann surfaces along congruence subgroups (with M. Katz and U.
Vishne), J. Differential Geom. 76, no. 3 (2007), 399-422.
50.
Lifting McKay graphs and relations to prime extensions
(with M. Hasan Ali), Rocky Mountain J. Math., 38, no. 2
(2008), 373-393.
51.
The Broué
conjecture for the faithful blocks of 4.M22 (with J. Mueller), J.
Algebra 319 (2008), 3588-3602.
52.
Maximal strings in the crystal
graph of spin representations of the symmetric and alternating groups, (with Hussam Arisha), Comm. Algebra 37
(2009), 3779-3795.
53.
Finite posets
and their representation algebras (with M. Gerstenhaber), Internat.
J. Algebra Comput, 20 (2010), 27-38.
54.
Characterization of a line arrangement whose
fundamental group of the complement is a direct product of free groups (with M.
Eliyahu, E. Liberman, and M. Teicher), Algebr. Geom. Topol. 10 (2010), 1285-1304.
55.
Hurwitz quaternion order and arithmetic Riemann
surfaces (with M. Katz and U. Vishne), Geometriae Dedicata 155 (2011),
no. 1, 151-161
56.
A non-recursive criterion for
weights of a highest weight module for an affine Lie algebra (with O. Barshevsky and M. Fayers), Israel J. Math, 197 (2013), 237–261.
57.
The
coarse structure of a finite monoid, Journal of Discrete Mathematics, Volume 2014
(2014) .
58.
Proofs
and retributions, (with V. Kanovei, K. Katz and M.
Katz), Foundations of Science (2015), 20, 1, pp 1-25.
59.
Morita equivalences of spin
blocks of the symmetric and alternating groups (with R. Leabovich),
Rocky Mountain J. of Math., Vol. 47, No. 3 (2017), 863-904.
60.
The representations of nested monoid
algebras (with Yafit Natani),
Comm. in Algebra, vol. 45, No. 9 (2017), 3872-3885.
61.
Effects of correlations and fees
in random multiplicative environments: Implications for portfolio management
(with O. Alper, A. Somekh-Baruch,
O. Pirvandy, G. Yaari),
Physical Review, Vol. 96, (2017), DOI: 10.1103/PhysRevE.96.022305
62.
Volume Prediction with Neural
networks, (with Simi Haber and Daniel Libman)
Frontiers in Artificital Intelligence, 09
October 2019 | https://doi.org/10.3389/frai.2019.00021
63.
Mutations and Pointings
for Brauer Tree Algebras, (with Zehavit
Zvi) Osaka Journal of Mathematics, Vol. 57, No. 3 (2020).
Submitted
articles and preprints
64.
External Littelmann
paths for type A and rank 2 (with Ola Amara-Omari), arXiv
1707.08720 (36 pages.)
Main paper: 2. Determining subgroups of finite index in a finitely generated group, Canad. J. Math (Google Scholar cite 27).
Main paper: 3. Deformations of Cohen-Macaulay schemes of codimension 2, and non-singular deformations of space curves, Amer. J. Math. (GS cite 72).
Other papers: 1, 4,6,7, 8, 11, 14
Main paper: 15. Deformations of finite-dimensional algebras and their idempotents, Trans. Amer. Math. (GS cite 24) Other papers: 16, 17, 18, 20, 22, 23, 25, 30, 32, 33, 36
Proved the Donald-Flanigan conjecture for blocks of symmetric groups, block with normal defect group, and blocks derived equivalent to blocks with normal abelian defect group.
Main papers: 26. A modular version of Maschke's theorem for groups with cyclic p-Sylow subgroup, J. Algebra (GS cite 11) Hecke algebras, Uqsln, and the Donald-Flanigan conjecture for Sn (with M. Gerstenhaber), Trans. Amer. Math (GS cite 6).
Other papers: 16, 20, 21, 24, 27, 28, 35, 38, 44
Developed database and techniques for finding the tilting complexes of blocks
Main paper: 51. The Broué conjecture for the faithful blocks of 4.M22 (with J. Mueller), J. Algebra (GS cite 14).
Other papers: 46, 47
Pointing for Brauer Tree Algebras
Determined all the star-to-tree complexes using pointing.
Other papers: 37, 40, 41, 43, 62.
Found that the quiver of a block with normal defect group is the McKay graph, and determined the relation on the skeleton.
Other papers: 33, 34, 50.
Other papers: 52, 59.
Categorification of Blocks of type A
65.
Main
paper: 56. A
non-recursive criterion for weights of a highest weight module for an affine
Lie algebra (with O. Barshevsky and M. Fayers), Israel J. Math, 197 (2013),
237–261.
Representations of Monoids
Used the basis graph to investigate the representation algebra of a monoid.
Main paper: 57. The coarse structure of a finite monoid, J. of Discrete Math.
Other papers: 53, 60
9. On the partial multiplicities of a
product of two matrix polynomials (with L. Rodman), (GS cite 15)
42. A network of weighted majority rules and their geometric realizations (with D. Karotkin).
45. Two-dimensional pattern matching with
rotation (with A Amir,
A. Butman, M. Crochemore,
G.M. Landau), Theoret. Computer Sci. (GS cite 36).
49. Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups (with M. Katz and U. Vishne), J. Differential Geom. (GS cite 47)
53. Hurwitz quaternion order and arithmetic Riemann surfaces (with M. Katz and U. Vishne), Geometriae Dedicata (GS cite 5)
54. Characterization of a line arrangement whose fundamental group of the complement is a direct product of free groups (with M. Eliyahu, E. Liberman, and M. Teicher), Algebr. Geom. Topol.
58. Proofs and retributions, (with V. Kanovei, K. Katz and M. Katz), Foundations of Science (GS cite 5)
Last updated, Jul. 12, 2020