CURRICULUM VITAE - Carleton University

CURRENT ADDRESS
CURRICULUM VITAE
A. Rahnamai Barghi
Associate Professor:
K. N. Toosi University of Technology,
Department of Mathematics,
Tehran-Iran.
E-mail: rahnama@kntu.ac.ir
and
Adjunct Research Professor:
School of Mathematics and Statistics,
Carleton University,
Ottawa, ON, K1S 5B6
E-mail: rahnama@math.carleton.ca
EDUCATION
1998 Ph.D. in Mathematics, Tarbiat Modares University, Tehran-Iran.
Title thesis: C-algebra and table algebras. (supervisor: M. R. Darafsheh).
1994 M.Sc. in Mathematics, Shahid Beheshti University, Tehran-Iran.
Title thesis: Open and ètal maps in Sheave theory. (supervisor: J. Tavakoli).
1992 B.A. in Mathematics, Sharif University of Technology, Tehran-Iran.
RESEARCH INTERESTS
Association schemes and algebraic combinatorics.
Character algebras and table algebras.
Character of finite groups.
POSITIONS
• Adjunct Research Professor, Carleton University, School of Mathematics and
Statistics, July 2011- July 2014.
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• Associate Professor, Faculty member of Mathematics Department at K.N. Toosi
University of Technology, Tehran-Iran. 2008- 2012.
• Assistant Professor, Faculty member of Mathematics Department in the Institute
for Advanced studies in Basic Sciences (IASBS), Zanjan-Iran, 1998-2007.
• July 2001 to June 2002, Visiting Research Associate at: the School of Mathematics
and Statistics, Carleton University, Ottawa-Canada.
• Post Doctoral Fellowship, The Abdus Salam The Abdus Salam International
Center for Theoretical Physics (ICTP), Trieste- Italy, January 2001 - July 2001.
PROFESSIONAL MEMBERSHIPS
• Editorial board: Transactions on Combinatorics, July 2011- present
• Member of the Graduate Committee, Department of Mathematics, K. N. Toosi
University of Technology, 2008-2010.
• Senior Associate Researchers (Non-resident), School of Mathematics- Institute
for Research in Fundamental Science(IPM), 2009-2011.
• Member of the American Mathematical Society, 2005- 2011
• Member of the Iranian Mathematical Society, 2002-2006.
• Member of the Research Council of the IASBS, 2003-2005.
• Member of the Promotion Selecting Committee of the IASBS, 2002-2006.
• Member of Research Group at Institute for Research in Fundamental Science
(IPM), 1994-1998.
ADMINSTRATION AND SERVICES
• Reviewer for the American Mathematical Society, 2008 - present.
• Head of Mathematics Department, IASBS. 2004-2006.
• Representative of the Iranian Mathematical Society at IASBS, 2002-2005.
• Organizer of the ”Regional Summer School on Group Theory- IASBS, July 2000.
LIST OF PUBLICATIONS
1 ( with Allen Herman ) Schur indices of association schemes, Journal of Pure
and Applied Algebra 215 (2011) 1015 − 1023.
2 A note on finite groups determined by a combinatorial property, Contemporary
Mathematics Vol. 531 (2010) 103 − 108.
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3 ( with J. Bagherian ) Standard character condition for table algebras, Electronic
Journal of Combinatorics 16 (2010), no. 17
4 ( with Ponomarenko, Ilya ) Non-isomorphic graphs with cospectral symmetric
powers, Electronic Journal of Combinatorics 16 (2009), no. 1.
5 ( with Ponomarenko, Ilia ) The basis digraphs of p-schemes, Graphs and Combinatorics
25 (2009), no. 3, 265 − 271.
6 ( with Allen Herman) The character values of commutative quasi-thin schemes,
Linear Algebra and its Application 429 (2008), no. 11 − 12, 2663 − 2669.
7 Common properties of table algebras and association schemes, Discrete Mathematics
308 (2008), no. 14, 2949 − 2958.
8 (with J. Bagherian and Ilia Ponomarenko) On cyclotomic schemes over finite
near-fields, Journal of Algebraic Combinatorics 27 (2008), no. 2, 173−185..
9 ( with Ilia Ponomarenko) On the structure of p-schemes, (Russian) Zap.
Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov.
(POMI) 344(2007), translation in Journal of Mathematical Science (N.
Y.) 147 (2007), no. 6, 7227 − 7233.
10 ( with John D. Dixon ) Irreducible characters which are zero on only one conjugacy
class, Proceedings American Mathematical Society 135 (2007), no.
1, 41 − 45.
11 ( with I. N. Ponomarenko ) Amorphic C-algebras, (Russian) Zap. Nauchn.
Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 340(2006),
translation in Journal of Mathematical Science, (N. Y.) 145 (2007), no.
3, 4981 − 4988.
12 ( with John D. Dixon ) Degree homogeneous subgroups, Canadian Mathematical
Bulletin 48 (2005), no. 1, 41 − 49.
13 A class of hyperrings, Algebraic hyperstructures and applications- Taru
Publication, New Delhi (2004) 107 − 113.
14 The prime ideal theorem for distributive hyperlattices, Italian Journal of Pure
and Applied Mathematics no. 10 (2001) 75 − 78.
15 On commutative quasi-hyperrings, Italian Journal of Pure and Applied
Mathematics no. 10 (2001) 67 − 74.
16 ( with M. Mofidy Ahmedy ) On automorphisms of a class of special p-groups
Archiv der Mathematik (Basel) 77 (2001), no. 4, 289 − 293.
17 Classification of a class of integral table algebras, Algebra Colloquium
8 (2001), no. 2, 219 − 226.
18 The classification of a class of homogeneous integral table algebras of degree five,
Korean Journal of Computational and Applied Mathematics 8 (2001),
no. 1, 71 − 80.
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19 Nilpotency property in table algebras, Journal of Algebra 226 (2000), no.
2, 875 − 879.
20 ( with M. R. Darafsheh ) Towards a classification of homogeneous integral table
algebras of degree five, Beiträge zur Algebra und Geometrie 41, (2000), no.
1, 33 − 47.
21 ( with M. R. Darafsheh ) Composition series in C-algebras, Algebra Colloquium,
6 (1999), no. 2, 125 − 132.
22 ( with M. R. Darafsheh) Dual properties in table algebras, Ital. J. Pure Appl.
Math. (1999), no. 6, 73 − 80.
23 The prime ideal theorem and semiprime ideals in meet- hyperlattices. Ital. J.
Pure Appl. Math. (1999), no. 5, 53 − 60.
TALKS IN CONFERENCES AND SEMINARS
• Algebra seminar, Representation of Table Algebras, Carleton University and Ottawa
university, March 23, 2011.
• Combinatorics and optimization seminar, Coherent Confiugration and Association
Schemes II, Carleton University and Ottawa University, February 11, 2011.
• Combinatorics and optimization seminar, Coherent Confiugration and Association
Schemes I, Carleton University and Ottawa University, January 28, 2011.
• International Conference on Algebraic and Geometric Combinatorics, Strong table
algebras of rank three. 12 − 16, July- 2010, Korea.
• The Second Conference on Algebraic Combinatorics, Table algebras of rank three
and strongly regular graphs. 12−13, May, 2010, Ferdowsi University of Mashhad.
• 7th International Algebraic Conference, Ukrainian Mathematical Congress, A
necessary and sufficient condition for a table algebra to originate from an association
scheme. 18 − 23, August, 2009, Ukraine.
• Algebraic Aspects of Association Schemes and Scheme Rings, University of
Regina, Regina, A note on cyclotomic schemes over finite near-fields .July 2008.
• 38th Annual Iranian Mathematics Conference , Character products of noncommutative
table algebras. 3 − 6 September 2007, University of Zanjan.
• The first IPM Conference on Algebraic Graph Theory, On the splitting filed of
quasi-thin schemes. 21 − 26 July, 2007, IPM- Tehran, Iran.
• 18th Seminar on Algebra, A criterion for an element of an association scheme
possesses cyclotomic eigenvalues. 4 − 5 April 2007, Damghan University of Basic
Sciences.
• 12th Conference of the International Linear Algebra Society (ILAS), A note on
cyclotomic schemes over near-fields. 26 − 29 June 2005, University of Regina,
Saskatchewan.
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• 34th Iranian Mathematical Conference, Note on Frobenius group of odd order.
30 August - 2 September, 2004, Shahrood University of Technology.
• Algebra and Representation Theory seminar, Table Algebra (I). February 2002,
Department of Mathematics and Statistics, Carleton University Ottawa-Canada.
• Algebra and Representation Theory seminar, Table Algebra (II). February 2002,
Department of Mathematics and Statistics, Carleton University Ottawa-Canada.
• Proceedings of the 31st Iranian Mathematics Conference, On the conjugacy
classes of a p-group. 216 − 219, 2000 Tehran University, Tehran- Iran.
• 11th Algebra Seminar Dept. Math. University of Technology Isfahan, A Class
of Homogeneous Integral Table Algebras. 27 − 29 October 1999.
• 29th Annual Iranian Mathematical Conference, Some Results in C-algebras. Faculty
of Mathematics and Computer Sciences, Amirkabir University of Technology,
Tehran-Iran. 28 − 31 March 1998.
• 10th Seminar on Algebra, A note on nilpotent table algebras, Kordestan University.
Kordestan-Iran. 21 − 22 October 1998.
• Proceedings of the 9th Algebra Seminar, A note on Table Algebras. Mazandaran
University and Sharif University of Technology, Mazandaran-Iran. 18 − 19
November 1997.
PARTICIPATION AT CONFERENCES AND WORKSHOPS
• Algebraic Graph Theory, Banff International Research Center (BIRS), April 24-
29, 2011, Banff, Canada.
• Grbner Bases in Cryptography, Coding Theory, and Algebraic Combinatorics,
Johann Radon Institute for Computational and Applied Mathematics (RICAM),
Linz- Austrian, May 01-06, 2006.
• Conference on Association Schemes, Codes and Designs, Pusan National University,
Pusan, Korea, 19-23 July, 2004.
• Tenth International Conference, Groups and Group Rings, Ustorn, Poland, June
10-14, 2003. http://www.polsl.gliwice.pl/ groups/.
• Algebra Day, Carleton University and University of Ottawa, Ottawa-Canada.
29th September 2001. http://www.math.carleton.ca/.
• International Conference, Richard Brauer; Taking his ideas into 21th century,
University of Sttutgard, Germany, 22-24 March 2001. http://www.minet.unijena.de/algebra/brauer/conference/.
• School on Automorphic Forms on GL(n), The Abdus Salam International
Center for Theoretical Physics, ICTP, Italy, 31 July-18 August 2000.
http://www.ictp.trieste.it/.
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• 3rd European Congress of Mathematics, Barcelona, Spain, 10-14 July, 2000.
http://www.iec.es/3ecm/.
• Workshop on Model Theory and Permutation Groups, Trento, Italy, 12-17 July
1999.
• 7th International Congress on Algebraic Hyperstructure and Applications,
Taormina, Italy, 13-19 June 1999.
STUDENTS SUPERVISED
• T. Neshat, Master Thesis: Circular block designs and planar nearrings- Graduated
on October 2011.
• E. Shabani, Master Thesis: On designs related to coherent configurartions of
type (2, 2; 4)- Graduated on October 2011.
• M. Mahtabi Oghani, Master Thesis: Bounds on subsets of coherent
configurations- Graduated October 2011.
• R. Talebi, M.Sc., Thesis: Equitable partitions and flat association schemes- Graduated
on December 2010.
• S. Shalchi, M.Sc., Thesis: Valencies and IP-graphs of association schemes- Graduated
on October 2010.
• R. Rahmani, M.Sc., Thesis: A construction of amorphic association scheme and
strongly regular graphs- Graduated on September 2010.
• M. Hakimi, M.Sc., Thesis: Association scheme of group PSL(2,7)- Graduated on
September 2010.
• J. Bagherian, P.hD., Thesis: Cyclotomic scheme over finite near field and standard
character conditions for C-algebras, Graduated on September 2008.
• L. Tajdost, M.Sc., Thesis: Application of Grobner bases to association schemes
and coding theory- Graduated on November 2008.
• F. Babaei, M.Sc., Thesis: p-schemes and generalization of Sylow’s theorem to
homogeneous schemes- Graduated on August 2008.
• D. Afghami Taba, M.Sc., Thesis: Application of equitable partitions in homogeneous
schemes- Graduated on October 2007.
• W. Soltanian, M.Sc., Thesis: An Introduction to representation theory of
schemes- Graduated on July 2007.
• R. Sharafdini, M.Sc., Thesis: Representation of factor association schemes over
normal closed subsets- Graduated on October 2006.
• N. Moossavi, M.Sc., Thesis: Cellular algebras and description of Weisfeiler-
Leman algorithm- Graduated on July 2006.
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• H. Mazyd Abadi, M.Sc., Thesis: Invariants for some equivalent G-algebras- Graduated
on March 2005.
• A. R. Eslami Harandi, M.Sc., Thesis: Generalized table algebras and application
scheme- Graduated on August 2004
• J. Bagherian, M.Sc., Thesis: Character restriction and degree homogeneous-
Graduated on September 2004.
• P. Borhani, M.Sc., Thesis: Homogeneous irreducible characters- Graduated on
December 2003.
• M. Hydari, M.Sc., Thesis: Concepts in C-algebras and table algebras- Graduated
on December 2000.
• M. Mofidy Ahmedy, M.Sc., Thesis: On a class of special p-groups- Graduated on
June 1999.
COURSES TAUGHT
• Visiting Professor, Carleton University, Winter 2011-Fall 2011
1 st -year Linear algebra, Winter 2011.
• Associate Professor, K. N. Toosi University of Technology, Fall 2008- Fall 2010.
◦ Combinatorial designs constructions and analysis, 2 nd -year
Calculus- Fall 2010.
◦ Advanced Algebra, 2 nd -year Calculus, Field and Galois theory-
Winter 2009.
◦ Character theory of finite groups, 2 nd -year Calculus, Linear
algebra- Fall 2009.
◦ Character theory of finite groups, 2 nd -year Calculus, Linear
algebra- Winter 2008.
◦ 1 st -year Calculus, 2 nd -year Calculus- Fall 2008.
• Assistant Professor, (IASBS)-Iran, Fall 1998 - Winter 2007.
◦ Character theory of finite groups- Association schemes, Winter
2007.
◦ Association scheme- Field and Galois theory- Advanced algebra,
Fall 2007.
◦ Character theory of finite groups- Association scheme, Spring
2007.
◦ Association scheme, Winter 2006.
◦ Association scheme- Character theory of finite groups, Fall 2006.
◦ Field and Galois theory- Group theory, Spring 2006.
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◦ Character theory of finite Groups- Permutation groups- Winter
2005.
◦ Advanced Algebra- Character theory of finite groups, Fall 2005.
◦ Association schemes, Winter 2004.
◦ Linear group- C-algebras and Table algebras, Fall 2004.
◦ Advanced algebra- Linear group, Winter 2003.
◦ Character theory- Lie algebras- Fall 2003.
◦ Group theory- Introduction to algebraic topology, Winter 2000.
◦ Advanced algebra- Finite groups, Fall 2000.
◦ Linear Algebra- Advanced algebra, Fall 1999.
◦ Character of finite group, Fall 1998.
• Associate Visitor, Carleton University, Winter 2001- Fall 2002.
◦ Linear Algebra with Application to Business and Economic,
Winter 2002.
VISITING RESEARCH ASSOCIATE
• December 2010- July 2011, Sabbatical: Associate Visiting Professor, Carleton
University, School of Mathematics and Statistics.
• 26 June to 12 July 2008, Visiting Research Scholar at: the Department of Mathematics
and Statistics in the Faculty of Society, University of Regina, Regina (
invited by Professor Allen Herman).
• 17 August to 14 September 2007, Visitor Professor at: Euler International Mathematical
Institute and Petersburg Department of V.A.Steklov Institute of Mathematics,
St. Petersburg Russia, ( invited by Professor Ilya Ponomarenko).
• 12 July to 12 September 2006, Visitor Professor at: Euler International l Mathematical
Institute and the Petersburg Department of V.A.Steklov Institute of
Mathematics, St. Petersburg, Russia, ( invited by Ilya Ponomarenko ).
• 25 May to 30 July 2005, Visiting Research Scholar at: the Department of Mathematics
and Statistics in the Faculty of Society, University of Regina, Regina (
invited by Professor Allen Herman).
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