Eli Aljadeff

 Professor,

Dean of the faculty of Mathematics

Technion-Israel Institute of Technology, Haifa 32000, Israel

Holder of the Ruth and Samuel Jaffe Chair in Mathematics

 Tel. 04-8294284 , e-mail: aljadeff@tx.technion.ac.il, elialjadeff@gmail.com

Ph.D. Mathematics, Tel-Aviv University  (1988) Ph.D. advisor: Prof. Shmuel Rosset

 Research Interests: Algebra

Ph.D. Students

Past students:

Yuval Ginosar-1996

Michael Natapov-2005

Aviv Censor -2007

Ehud Meir ben Ephraim-2010

Nir Ben David-2013

Eli Geva-2015

Yuval Shpigelman-2015

Nicola Sambonet (co-advisor)-2015 Principal advisor Yuval Ginosar (Haifa Univ.)

Yaakov Karasik-2016

Ofir David-2016

Current students:  

Adi Wolf

M.Sc. Students

Past students:

Yuval Ginosar-1992

Uri Onn-1995

Elena Guralnik-1999

Michael Natapov- 2001

Nir Ben David- 2005

Ehud Meir ben Ephraim- 2005

Shira Zerbib- 2007

Eli Geva- 2008

Yaakov Karasik-2010

Adi Wolf-2011

Ofir David-2012

Current students:

David Levit-Gurevich

Prizes: Research: Mahler Prize 1995

Mahler Prize 2007

           Academic education: Yanai Prize 2012

Grants: ISF-2008-2012

              ISF-2012-2016

ISF-2016-2020

Visiting positions

University of Illinois at Urbana-Champaign, USA

University of Strasbourg, France

University of Murcia, Spain

University of Buenos Aires, Argentina

University of Palermo, Italy 

Lectures at international conferences

1984 Apr. Israel Annual Meeting, Tel-Aviv University.

1989 Oct. AMS Special Session on Noncommutative Algebra in Geometry and  Arithmetic, Muncie, Indiana.

        Nov. Mid West Meeting (Bloomington Indiana, Cincinati Ohio, Urbana, Illinois), Bloomington, Indiana.

1991 Apr. Brauer Groups Conference, Oberwolfach, Germany.

July Non Commutative Rings Workshop, Warwick, England.

1992 July Algebra Workshop, University of California at Santa Barbara (delivered by J.Sonn, joint work).

1993 Apr. Israel Annual Meeting, The Ben Gurion University, Beer-Sheva.

        Aug. Conference on Rings, Extensions and Cohomology (held on the occasion of the retirement of Daniel Zelinsky), Northwestern University, Evanston.

1994 May International Workshop on Representation Theory, Technion.

Aug. XI Coloquio de Algebra, Mendoza.

1995 June AMS-IMU Meeting, Jerusalem.

1996 Jan. Annual AMS-MAA Meeting, Orlando, Florida. Special session in Algebra.

        Apr. Israel Annual Meeting, Weizmann Institute.

1997 Mar. Midwest Meeting, Bloomington, Indiana.

        May Workshop on Brauer Groups, Colorado, USA.

1998 Jan. Murcia Euroconference on Interactions Between Ring Theory and Representations of Algebras, Spain.

Sep. Congress on Homology and Representation, Cordoba, Argentina.

1999 May Israel Annual Meeting, Haifa University.

June Brauer Groups Meeting, Montana, USA.

2000 May Israel Annual Meeting, Haifa University.

2001 May Israel Annual Meeting, Tel-Aviv University.

        Aug. International Latino America  Colloquium of Alg La Falda, Argentina.

Oct. Homology and Rep. of Algebras, Sierra de la Ventana, Argentina.

2002 June Brauer Groups Meeting, Colorado, USA.

Sep. Non commutative Rings and Geometry, Almeria, Spain.

2003 July Latino America International “Coloquio de Algebra”, Mexico.

2004 May Joint Algebra Meeting Argentina–Brazil–Uruguay–Chile (ERP), Buenos Aires, Argentina. Main Speaker (series of lectures).

        June Brauer Groups Meeting, Colorado,  USA.

July Escola de Algebra, Campinas, Brazil. July Groups, Rings and Group Rings, Ubatuba,    Brazil.

2005 May Israel Mathematical Union Annual Meeting, Neve Ilan, Israel.

May Congreso Dr. Antonio Monteiro. Series of 3 lectures (Introductory course).

Aug. (Bi Annual) XVI Coloquio Latino American of Algebra, Uruguay. Plenary lecture.

2005 Aug. Coloquio of Algebra, Buenos Aires (Satellite to the Latin American Algebra Coloquio).

Nov. Joint Algebra meeting (Inter-Universitaire d’Algebre), Mulhouse, France.

2006 July Perspectives on Rings and Algebras, Murcia, Spain. Series of 3 lectures.

Sep. Noncommutative Algebra, Granada (Satellite to the ICM). Plenary lecture.

2007 June Amitsur Memorial Symposium, Haifa University

July Latin American Algebra Coloquio, Colombia, Medellin.

        Sep. International Conference on algebraic and combinatorial methods in concrete of algebras and groups, Alden-Biesen Belgium.

        Oct. Joint Algebra Meeting Argentina–Brazil–Uruguay–Chile (ERP), Montevideo, Uruguay  

        Nov. Mini-Workshop Oberwolfach, Germany: Arithmetik von Gruppenringen, two lectures

2008 Jan. Conference Program Representation Theory of Algebras, Groups and semigroups, Bar  Ilan University.        

       July Brauer Group, meeting, Colorado, USA Aug. Groups, Rings and   Group rings, Plenary Speaker, Ubatuba, Brazil

       Sep. Graded Algebras and Superalgebras, Memorial University of Newfoundland, Atlantic Algebra Centre International Workshop

2009 June International Workshop, Groups and Hopf Algebras, Atlantic Algebra Centre, Memorial University of Newfoundland. Plenary speaker (two lectures)

        Aug. Latin American Algebra Colloquium San Pedro, Brazil

        Sep. Hopf algebras, quantum groups and tensor categories, Cordoba, Argentina

2010 Jan. Brauer Group workshop, Ketura, Israel

        Jan. Special Session on Differential Galois theory and group representations, Joint  Mathematics meeting, San Francisco.

Mar. Arithmetic of group rings and related structures. Aachen, Germany (Main speaker (Two lectures))

May Hopf algebras and noncommutative algebras. Sde Boker, Israel.

        July Groups, rings and group rings. Ubatuba, Brazil (Series of 3 lectures).    

July 21st Escola de Algebra. Brasilia, Brazil.

Sep. Summer School on “Growth” (Two lectures), Technion.

2011 May Amitsur Symposium, Ben-Gurion University, Beer Sheva

        July Group, Rings and Group Rings Edmonton, Canada

        Sep. Polynomial Identities in Algebras II St. John’s, Canada (Two lectures)

        Sep. Quantum groups, categorification and braids Strasbourg, France

2012 June Workshop on “Group rings and related topics”, Stuttgart, Germany

        July Escola de Algebra, Salvador Brazil (Plenary speaker)

        July Groups, rings and group rings (Series of three lectures)

        Aug. Brauer groups, Colorado, USA

2013 June Recent trends in Rings and Algebras”, Murcia, Spain (plenary lecture)

        July Advances in Group Theory and Applications 2013”Porto Cesareo, Italy (series of three  lectures)

        July Classical aspects of ring theory and module theory”, Banach Center, Bedlewo, Poland (Plenary lecture)

        Aug. Hochschild Cohomology: Structure and Applications IV”, Buenos Aires, Argentina

2014 June Advances in Group Theory and Applications - The School ”Porto Cesareo, Italy (series  of three lectures)

        July Groups, Rings and Group Rings, Ubatuba, Brazil

        July International Conference on Groups, Rings and Group Rings - Brock Canada

2015 July Groups, Rings, Theory and Applications-Sofia Bulgaria.

2016 March Groups, Algebras and Identities, Honoring Boris Plotkin's 90th birthday, Bar Ilan

July GRITA, Sofia, Bulgaria

July Coloquio Latino Americano de Algebra XXI, Buenos Aires, Argentina (Minicourse + lecture)

Public service (main activities)

1997-01 Head of the Undergraduate Program and Students' Advisor- Math Technion

2002-04 Secretary of the Israel Mathematical Union

2007-10 Head of the graduate Program and Graduate Students' Advisor- Math Technion

2015- Dean of the Mathematics Faculty, Technion

LIST OF  PUBLICATIONS

1) E. Aljadeff and S. Rosset, Global dimensions of crossed products,  J.of Pure and Applied Algebra, (1986), 103-113.

2) E. Aljadeff and S. Rosset, Growth and uniqueness of rank, Israel  J. of Mathematics, vol. 64, No. 2 (1988), 251-256.

3) E. Aljadeff  and  S. Rosset, Crossed products, cohomology and equivariant projective representations, J. of Algebra, vol. 121, No. 1, (1989) 99-116.

4) E. Aljadeff, Homological duality for crossed products, J. of Algebra, vol. 134, No.1 (1990), 157-181.

5) E. Aljadeff, Serre's extension theorem for crossed products, J. of the London Math. Society, No. 2 Vol. 44, (1991), 47-54.

6) E. Aljadeff and J. Sonn, Projective Schur division algebras are abelian crossed products, J. of Algebra, vol 163, No.3 (1994), 795-805.

7) E. Aljadeff, On the surjectivity of some trace maps, Israel journal of mathematics, vol. 86 (1994), 221-232.

8) E. aljadeff and D. Robinson, Semisimple algebras, Galois actions and group cohomology,

 J. of Pure and Applied Algebra, vol. 94, (1994), 1-15.

9) E. Aljadeff and Y. Ginosar, On the global dimension of multiplicative Weyl algebras, Arch. Math., vol. 62 (1994), 401-407.

10) E. Aljadeff and J. Sonn, Projective Schur algebras have abelian splitting fields, J. of Algebra, vol. 175 (1995). 179-187.

11) E. Aljadeff and D. Robinson, Solution of the twisting problem for skew group algebras, Israel J. of Mathematcs, vol. 91 (1995) 409-417.

12) E. Aljadeff and J. Sonn, On the projective Schur group of a field, J. of Algebra, vol. 178 (1995), 530-540.

13) E. Aljadeff and Y. Ginosar, Induction from elementary abelian subgroups, J. of Algebra, vol. 179 (1996), 599-606.

14) E. Aljadeff, J. Cornick, Y. Ginosar and P.H. Kropholler, On a conjecture of Moore, J. of Pure and Appl. Algebra, vol. 110 (1996), 109-112.

15) E. Aljadeff and J. Sonn, Bounds on order of finite subgroups of PGL_n(k), J. of Algebra, vol. 210 (1998), 352-360.

16)  E. Aljadeff, Y. Ginosar and U. Onn, Projective representations and semisimplicity, J. of Algebra, vol. 217 (1999), 249-274.

17) E. Aljadeff and J. Sonn, Projective Schur algebras of nilpotent type are Brauer equivalent to radical algebras, J. of Algebra, 220 (1999), 401-414.

18) E. Ajadeff and J. Sonn, Exponent reduction for radical abelian algebras, J. of Algebra, 223 (2000), 527-534.

19) E, Aljadeff and A.R. Magid, Deformations and liftings of representations, Conteporary Mathematics, 264, Amer. Math. Soc., Providence, RI, 2000.

20) E. Aljadeff and D. Haile, Division algebras with a projective basis, Israel J. of Mathematics, 121 (2001), 173-198.

21) E. Aljadedd and J. Sonn, Exponent reduction for projective Schur algebras,  J. of Algebra, 239 (2001), 356-364.

22) E. Aljadeff and C. Kassel, Explicit norm one elements for ring actions of finite abelian groups, Israel J. of Mathematics, 129 (2002), 99-108.

23) E. Aljadeff and J. Sonn, Relative Brauer groups and m-torsion, Proceedings of AMS, 130 No.5 (2002), 1333-1337.

24) E. Aljadeff and J. Sonn, Fields for which the projective Schur subgroup is the whole Brauer group, Israel J. of Mathematics, 131 (2002), 375-379.

25) E. Aljadeff, Y. Ginosar and A. del Rio, Semisimple strongly graded rings, J. of Algebra, 256, No. 1 (2002), 111-125.

26) E. Aljadeff, P. Etingof, S. Gelaki and D. Nikshych, On twisting of finite dimensional Hopf algebras, J. of Algebra, 256, No. 2 (2002), 484-501.

27) E. Aljadeff and J. Sonn, Projective Schur groups of iterated power series fields, J. of Pure and Applied Algebra, vol. 182, No. 2-3 (2003), 109-117.

28) E. Aljadeff, D. Haile and M. Natapov, Projective bases of division algebras and groups of central type, Israel J. of Math., vol. 146 (2005), 317-335.

29) E. Aljadeff, Lectures on the Brauer group and the projective Schur subgroup of a field. Proceedings of the 8th "Dr. Antonio A. R. Monteiro'' Congress (Spanish), 131–150, Actas Congr. "Dr. Antonio A. R. Monteiro'', Univ. Nac. del Sur, Bahía Blanca, 2006.

30) E. Aljadeff, Profinite groups, profinite completions and a conjecture of Moore, Advances in Mathematics,  201, No. 1 (2006), 63-76.

31) E. Aljadeff, D. Haile and M. Natapov, On gradings of central simple algebras, "Groups, Rings and Group rings", edt. By C. Polcino Milies, A. Giambruno and S. K. Sehgal, CRC Press, 2006.

32) E. Aljadeff and C. Kassel, Norm formulas for finite groups and induction from elementary abelian subgroups, J. of Algebra, 303, No. 2 (2006), 677-706.

33) E. Aljadeff, J. Sonn and A. R. Wadsworth, Projective Schur groups over Henselian fields, J. of Pure and Appl. Algebra, 208, No. 3, (2007), 833-851.

34) E. Aljadeff, On cohomology rings of infinite groups, J. of Pure and Appl. Algebra, 208, No. 3, (2007) 1099-1102.

35) E. Aljadeff, Y. Ginosar and A.R. Magid, On deformations of crossed products, J. of Pure and Appl. Algebra, 210, No. 1, (2007) 81-91.

36) E. Aljadeff and M. Natapov, On the universal G-graded central simple algebra, Journal Ibero Americana, Proceedings of the Coloquio Latino American of Algebra, Colonia, Uruguay, 2005.

37)  E. Aljadeff and A. del Rio, Every projective Schur algebra is Brauer equivalent to a radical abelian algebra, Bulletin of the London Math. Soc., 39 (2007) 731-740.

38) E. Aljadeff, J. Cuadra, S. Gelaki and E. Meir, On the Hopf-Schur group of a field, J. of Algebra, 319, (208),  5165-5177.

39) E. Aljadeff and C. Kassel, Polynomial identities and noncommutative versal torsors, Advances in Mathematics, 218. (208), 1453-1495. (arXiv:0708.4108).

40) E. Aljadeff, D. Haile and M. Natapov, Graded identities of matrix algebras and the universal graded algebra, Trans. Amer. Math. Soc. 362 (2010) 3125-3147. arXiv:0710.5568.

41) E. Aljadeff, On the codimension growth of G-graded algebras,  Proc. Amer. Math. Soc. 138 (2010) 2311-2320. Math arXiv:0908.2385

42) Eli Aljadeff and Alexei Kanel-Belov, Representability and Specht problem for G-graded algebras, Advances in Mathematics 225 (2010), pp. 2391-2428. Math arXiv:0903.0362.

43) E. Aljadeff, Group graded PI-algebras and their codimension growth. , Isr. J. Math. (2012), 189-205.

44) E. Aljadeff, Antonio Giambruno and Daniela La Mattina, Graded polynomial identities and exponential growth, J.

Reine Angew. Math. 650 (2011), 83--100.

45) Eli Aljadeff and Ehud Meir, Nilpotency of Bocksteins, Kropholler's hierarchy and a conjecture of Moore,  Adv. Math. 226 (2011), no. 5.

46) Eli Aljadeff and Alexei Kanel-Belov, Hilbert series of PI relatively free G-graded algebras are rational functions, Bull. Lond. Math. Soc. 44 (2012), no. 3, 520-532.

47) E. Aljadeff, A. Giambruno, Multialternating graded polynomials and growth of polynomial

Identities, Proc. Amer. Math. Soc. 141 (2013), no. 9, 3055-3065.

48) E. Aljadeff and Y. Karasik, Crossed products and their corresponding central polynomials, J.  Pure Appl. Algebra 217 (2013), no. 9, 1634-1641.

49) E. Aljadeff and D. Haile, Simple G-graded algebras and their polynomial identities, Trans. Amer. Soc. 366 (2014), no. 4, 1749–1771

50) E. Aljadeff and Ofir David, On Regular G-gradings, Trans. Amer. Soc. 367 (2015), no. 6, 4233-4207.

50) E. Aljadeff and O. David, On group gradings on PI-algebras, J. Algebra 428 (2015), 403–424.

51) E. Aljadeff, Graded algebras, polynomial identities and generic constructions, Note Mat. 34 (2014), no. 1, 1-22.

52) E. Aljadeff, A. Kanel-Belov and Y. Karasik, Kemer's theorem for affine PI algebras over a field of characteristic zero, to appear in J. Pure and Appl. Alg.

53) E. Aljadeff, Geoffrey Janssens and Yakov Karasik, The polynomial part of the codimension growth of an affine PI algebra, to appear in Adv. Math.

54) E. Aljadeff and Y. Karasik , Verbally prime T-ideals and graded division algebras. Preprint.

Publications in Medicine

1) H. Darwish, I.E. Trejo, I. Shapira, S. Oweineh, M. Sughayer, L. Baron, E. Aljadeff, M. Silbermann, W. Sweidan, D. Zilberg, Z. Halpern, H. Hibshoosh, N. Arber,

Fighting colorectal cancer: molecular epidemiology differences among Ashkenazi

and Sephardic Jews and Palestinians. Ann Oncol. 2002 Sep; 13 (9); 1497-501. PMID: [PubMed indexed for MEDLINE] 12196377

2) H. Strul, E. Barenboim, M. Leshno, M. Gartner, R. Kariv, E. Aljadeff, Y. Aljadeff, D. Kazanov, L. Strier, A. Keidar, Y. Knaani, Y. Degani, L. Alon-Baron, H. Sobol-Dvory, Z. Halpern, N. Arber, The I1307K adenomatous polyposiscoli gene variant does not contribute in the assessment of the risk for colorectal cancer in Ashkenazi Jews: Cancer Epidemiol Biomarkers Prev. 2003 Oct;12(10):1012-5. PMID:

14578136 [PubMed - indexed for MEDLINE]