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Sugandha Maheshwary
Assistant Professor
msugandha[at]ma.iitr.ac.in
511, Mathematics Department Building, IIT Roorkee
01332-285054
Research Interests

Biosketch
Educational Details
Professional Background

Research
Projects
Publications
Books
Collaborations

Honours and Awards
Honors
Memberships

Teaching Engagements
Teaching Engagements

Students
Supervisions
Associate Scholars

Miscellaneous
Events
Visits
Administrative Positions
Miscellaneous
Research Interests
Algebra, Group rings, Unit groups, computational mathematics
BioSketch
Educational Details
Panjab University, Chandigarh
2016
Ph.D., Mathematics
Panjab University, Chandigarh
2011
M.Sc. (Hons.),
Panjab University, Chandigarh
2009
B.Sc. (Hons.),
Professional Background
INSPIRE Faculty
01 Sep 2017 - 23 May 2022
Indian Institute of Science Education and Research Mohali
Post-Doctoral Fellow
01 Aug 2016 - 31 Aug 2017
Indian Institute of Science Education and Research Mohali
Post-doctoral fellow
01 Feb 2016 - 31 Jul 2016
Indian Institute of Science Education and Research Mohali
Research
Projects
TOPIC START DATE FIELD DESCRIPTION FINANCIAL OUTLAY FUNDING AGENCY OTHER OFFICERS
A study of group algebras and their unit groups 01 Sep 2017 INSPIRE Faculty award 35 lacs for 5 years as research grant. Department of Science and Technology




Publications
Gruenberg-Kegel graphs: cut groups, rational groups and the Prime Graph Question
2023
A. Bächle, A. Kiefer, S. Maheshwary, and Á. del Río | De Gruyter
Journal: Forum Mathematicum Pages: 409-429 ,
Global and local properties of finite groups with only finitely many central units in their integral group ring
2021
A. Bächle, M. Caicedo, E. Jespers, and S. Maheshwary | De Gruyter
Journal: Journal of Group Theory Pages: 1163-1188 ,
The lower central series of the unit group of an integral group ring
2021
S.Maheshwary | Springer
Journal: Indian Journal of Pure and Applied Mathematics Pages: 709-712 ,
Abelianization of the unit group of an integral group ring
2021
A. Bächle, S. Maheshwary, and L. Margolis | Math­em­at­ic­al Sci­ences Pub­lish­ers
Journal: Pacific Journal of Mathematics Pages: 309-344 ,
Units and Augmentation Powers in Integral Group Rings
2020
S. Maheshwary, and I. B. S. Passi | De Gruyter
Journal: Journal of Group Theory Pages: 931-944 ,
Group rings and the RS-property
2019
G. K. Bakshi, S. Maheshwary, and I. B. S. Passi | Taylor & Francis
Journal: Communications in Algebra Pages: 969-977 ,
Finite semisimple group algebra of a normally monomial group
2019
S.Gupta and S.Maheshwary | World Scientific
Journal: International Journal of Algebra and Computation Pages: 159-177 ,
The upper central series of the unit groups of integral group rings: a survey
2019
S. Maheshwary and I. B. S. Passi | Springer
Journal: Group Theory and Computation, Indian Statistical Institute Series Pages: 175-195 ,
Integral Group Rings With All Central Units Trivial: Solvable Groups
2018
S. Maheshwary | Springer
Journal: Indian Journal of Pure and Applied Mathematics Pages: 169-175 ,
Integral group rings with all central units trivial
2017
G. K. Bakshi, S. Maheshwary, and I. B. S. Passi | Elsevier
Journal: Journal of Pure and Applied Algebra Pages: 1955-1965 ,
Extremely strong Shoda pairs with GAP
2016
G. K. Bakshi and S. Maheshwary | Elsevier
Journal: Journal of Symbolic Computation Pages: 97-106 ,
On the index of a free abelian subgroup in the group of central units of an integral group ring
2015
G. K. Bakshi and S. Maheshwary | Elsevier
Journal: Journal of Algebra Pages: 72-89 ,
The rational group algebra of a normally monomial group
2014
G. K. Bakshi and S. Maheshwary | Elsevier
Journal: Journal of Pure and Applied Algebra Pages: 1583-1593 ,
Honors And Awards
Honors
Depart of Science and Technology (DST)
2017
INSPIRE Faculty Award
Council of Scientific and Industrial Research (CSIR)
2011
Shyama Prasad Mukherjee Fellowship (SPMF)
National Board for Higher Mathematics (NBHM), DAE, India
2009
NBHM M.A./M.Sc. scholarship (for both years)
National Board for Higher Mathematics
2006
NBHM B.A./B.Sc. scholarship (for 3 years)
MemberShips
Indian National Young Academy of Science (INYAS)
01 Jan 2019 - Present
Member
Indian National Young Academy of Science (INYAS)
20 Feb 2021 - 19 Feb 2023
Core-Committee (Secretary) Member
Teaching Engagements
Teaching Engagements
Abstract Algebra-II ( MAN-504 )
Spring
Mathematics-I ( MAN-001 )
Autumn
Introduction to Mathematical Sciences ( MA-101 )
Autumn
Selected Topics in Algebra ( MAN-904 )
Autumn
Students
SuperVisions
PhD
18 Jul 2022 - Present
Other Supervisors: , Scholar: Piyush Pachauri
PhD
18 Jul 2022 - Present
Other Supervisors: , Scholar: Seema Rani
Fields and Galois theory
24 May 2022 - 23 Jul 2022
Other Supervisors: , Scholar: Rajesh Kumar Sau, Soumabha Nandi
Finite groups: Structure and classification
21 Sep 2021 - 22 Feb 2022
Other Supervisors: , Scholar: Ansina M Haroon
Representations of finite groups and group rings.
01 Aug 2021 - 10 Apr 2022
Other Supervisors: , Scholar: Kirti Taneja
Extended Cut Groups
01 Jun 2021 - 31 Aug 2021
Other Supervisors: , Scholar: Angel Garcia
An introduction to representation theory
03 May 2021 - 31 Jul 2021
Other Supervisors: , Scholar: Kirti Taneja
Working with congruences
25 May 2021 - 19 Aug 2021
Other Supervisors: , Scholar: Sanchit Sharma
An introduction to Group rings
15 May 2021 - 17 Aug 2021
Other Supervisors: , Scholar: Sankar Prasad Jana
More about prime numbers
22 Apr 2021 - 08 Sep 2021
Other Supervisors: , Scholar: Harpreet Singh
Abstract Algebra
27 Jun 2020 - 24 Jul 2020
Other Supervisors: , Scholar: Vanshita Jain
Abstract Algebra with GAP
10 May 2018 - 10 Jul 2018
Other Supervisors: , Scholar: Tamanna
Number theory
15 May 2018 - 05 Jul 2021
Other Supervisors: , Scholar: Sanyam Singla
Units of ZG for an abelian group G.
01 Jan 2018 - 30 Apr 2018
Other Supervisors: , Scholar: Shubham Mittal
Miscellaneous
Events
National Mathematics Day
22 Dec 2022 - 22 Dec 2022
National Mathematics Day talk
21 Dec 2022 - 21 Dec 2022
WiSDOm (Women in Scientific Domain)
13 Aug 2022 - 13 Aug 2022
INYAS
Iconic Women Scientists
27 Jul 2022 - 27 Jul 2022
INYAS
Trailblazers
13 Jul 2022 - 13 Jul 2022
INYAS
Seminar series: Group rings
11 May 2022 - 18 May 2022
IISER Mohali, INSPIRE Faculty Grant
EXam Analysis in Mathematics (EXAM)
19 Jul 2021 - 24 Jul 2021
INYAS
Popular Science Talk Webinar series
16 Jun 2021 - 01 Jul 2021
INYAS, DST Rajasthan
A counterexample to the first Zassenhaus conjecture
19 Apr 2021 - 19 Apr 2021
IISER Mohali
Mini conference on the occasion of International Mathematics day
14 Mar 2021 - 14 Mar 2021
INYAS, SPSTI
All that you wanted to know about CORONA VACCINE
01 Feb 2021 - 08 Feb 2021
INYAS, SPSTI, NASI
Visits
University of Murcia, Murcia, Spain
To work with Angel del Rio, and his team on group rings. Worked on Gruenberg-Kegel graphs of solvable cut groups.
Vrije Universiteit Brussel (VUB), Belgium
Continued work on unit groups of integral group rings, with Prof. Eric Jespers and his group. Invited an external international examiner of a Ph.D. thesis defense. Invited Speaker at the conference “Groups rings and associated structures 2019”.
University of St Andrews, Scotland
To work with Dr. A. Konovalov for implementation of new codes into a software package named Wedderga.
Vrije Universiteit Brussel (VUB), Belgium
To visit Prof. E. Jespers and his research group. Worked on cut groups and gave a talk on The upper central series of the unit groups of integral group rings. Contributed talk: at the conference “Group-Rings and the Yang-Baxter Equation”
Sobolev Institute of Mathematics, Novosibirsk, Russia
As a participant of DST funded Indo-Russian project Modern problems in low dimensional topology in crossroad with geometry and algebra and gave a talk "The upper central series of the unit groups of integral group rings".
University of Stuttgart, Germany
Visited on invitation from Prof. W. Kimmerle and gave talk in the Oberseminar Algebra entitled From the structure of Q[G] to the units of Z[G], followed by two lectures for students on Shoda pairs and idempotents of group rings.
Heidelberg, Germany
Participated and Presented poster entitled ‘The algebraic structure of semisimple group algebras’ at the “3rd Heidelberg Laureate Forum”, held in Heidelberg, Germany during August 23-28, 2015.
St. Catherines, Canada
Talk entitled ‘Wedderburn Decomposition of Rational Group Algebras-A computational approach’ at “Brock International Conference on Groups, Rings and Group Rings” held at Brock University, St. Catherines, Canada during July 28-August 1, 2014.
Reviewer, American Mathematical Society
Co-authored software package ``Wedderga"

G. K. Bakshi, O. Broche Cristo, A. Herman, A. Konovalov, S. Maheshwary, A. Olivieri, G. Olteanu, A ́. del R ́ıo and I.Van Gelder, Wedderga-Wedderburn Decomposition of Group Algebras, - a GAP package, Version 4.9.3; 2018. (http://www.cs.st-andrews.ac.uk/ alexk/wedderga)

Articles: I.B.S. Passi

The Life and works of Professor I. B. S. Passi, The Mathematics Consortium Bulletin, 2022 Vol. 3, Issue 4 (https://www.themathconsortium.in/publications)

I. B. S. Passi (1939–2021), Current Science, 121(2021), no. 12, pp. 1631-1632. (https://www.currentscience.ac.in/Volumes/121/12/1631.pdf).

Whitepaper: ``Career Challenges for young independent researchers in India”,

Whitepaper entitled ``Career Challenges for young independent researchers in India”, Current Science, 122(2022), no. 2, pp. 135-143 (https://www.currentscience.ac.in/Volumes/122/02/0135.pdf).

Travel grants

2022 Chebyshev grant for International Congress of Mathematics (ICM), which was to be held at St. Petersburg, Russia-cancelled.

2019 DST-International Travel Scheme (ITS) grant to travel to Belgium for a research visit at Vrije Universiteit Brussel (VUB) and attending the conference entitled ”Groups Rings and the Associated Structures 2019”.

2018 Open Arms Travel grant for International Congress of Mathematics (ICM), held at Brazil (not availed).

2017 Travel grant from DST to visit University of St Andrews, Scotland and Vrije Universiteit Brussel (VUB), Belgium, local hospitality by hosts.

2017 Travel grant from IISERM institute funds to attend a conference on group rings at Spa, Belgium.

2016 Travel grant from NBHM to visit to University of Stuttgart, Germany, local hospitality by host.

2015 Travel grant as well as local hospitality from Heidelberg Laureate Forum Foundation (HLFF) to attend the 3rd Heidelberg Laureate Forum (HLF-2015), held at Heidelberg, Germany.

2014 Travel grant from NBHM for a conference on Group Rings, held at Brock University, Canada.

Invited Talks (conferences)

Invited talk entitled ”The lower and the upper central series of unit group of an integral group ring” in Conference on Group Theory and Related Topics (February 27 – March 4, 2023) on February 27, 2023, organised by School of Mathematical Sciences, NISER Bhubaneshwar.

Invited speaker at workshop cum conference “Group Algebras, Representations and Computation” held during October 14, 2019 to October 23, 2019 at the ICTS campus, Bangalore, India.

Invited Speaker at the conference entitled “Groups rings and associated structures 2019” held at Spa, Belgium during June 9-15, 2019. Presented paper entitled ‘Group Rings and the RS-property.

Invited talk ‘The upper and the lower central series of U(ZG)’ at IISER-NISER WebMeet during July 13-18, 2020.

Main speaker, at “Algebraic Structures and Applications”, which was scheduled to be held during June, 2020-cancelled due to Covid-19 pandemic.

Invited talk entitled ‘Algebra with GAP: Mathematical and computational aspects’ at the National Conference on Algebra held at Panjab University, Chandigarh during February 23-24, 2018.

Contributed talks and poster presentations at conferences

(International)

Presentation entitled ‘Normally Monomial Groups: Representations and Computational Aspects’ at the “Nikolaus Conference” held at RWTH Aachen University, Aachen, Germany during December 8-9, 2017.

Contributed talk entitled ‘The cut-groups: Groups with all central units of integral group rings trivial’ at the conference “Group-Rings and the Yang-Baxter Equation” held at Spa, Belgium during June 18-24, 2017.

Presented poster entitled ‘The algebraic structure of semisimple group algebras’ at the “3rd Heidelberg Laureate Forum”, held in Heidelberg, Germany during August 23-28, 2015.

Talk entitled ‘Wedderburn Decomposition of Rational Group Algebras-A computational approach’ at “Brock International Conference on Groups, Rings and Group Rings” held at Brock University, St. Catherines, Canada during July 28-August 1, 2014.

(National)

Paper entitled ‘The algebraic structure of group algebras’ at International Conference of The Indian Mathematics Consortium (TIMC) held at Banaras Hindu University (BHU), Varanasi during December 14-17, 2016.

Talk entitled ‘Central units in the integral group rings’ at Discussion Meeting on Topology and groups, held at IISERM, Mohali, during October 15-17, 2016.

Contributed talk entitled ‘Central units of integral group rings’ at the Annual conference of Indian Women & Mathematics (IWM), held at University of Hyderabad, Hyderabad during June 29-July 1, 2016.

Paper entitled ‘A computational approach to understand rational group algebras’ at International Conference on Emerging Areas of Mathematics for Science and Technology, at Punjabi University, Patiala, during January 30- February 1, 2015.

Paper entitled ‘On the index of a free abelian subgroup of Z[G]’ at International Conference on Special Functions and Applications (ICSFA 2014) held at Thapar University, Patiala, during October 16-18, 2014.

Paper entitled ‘Extremely strong Shoda pairs of a finite group’ at the 29th Annual Conference of Ramanujan Mathematical Society held at IISER, Pune, during June 23-27, 2014.

Paper entitled ‘The Algebraic Structure of semisimple Group Algebras’ at the 8th Chandigarh Science Congress held at Panjab University, Chandigarh, during February 26-28, 2014.

Paper entitled ‘The rational group algebra of a normally monomial group- with computational approach’ at the 101st Indian Science Congress held at Jammu University, Jammu during February 3-7, 2014.

Paper entitled ‘The rational group algebra of a normally monomial group’ at the 28th Annual Con- ference of Ramanujan Mathematical Society held at Reva Institute of Technology and Management, Bangalore during June 27-30, 2013.

Seminars (as speaker)

Conducted seminar series (4 seminars) on ”Group Rings” during May 11-18, 2022, for the students of IISERM Mathematics community and everyone interested. Delivered 4 seminars giving most whereabouts of group rings, staring from the fundamentals.

Gave a talk “An introduction to algebraic coding theory” for the students of Mathematics community at IISER Mohali on February 17, 2021.

Gave a talk “Origin and applications of representation theory” for the students of Mathematics community at IISER Mohali during November, 2021.

Gave a talk “Representation theory: Beyond classroom lectures” for the students of Mathematics community at IISER Mohali during November, 2019.

Gave a talk “An introduction to GAP” for the students of Mathematics community at IISER Mohali in 2018

Gave a talk “Metacyclic groups” for the students of Mathematics community at IISER Mohali in 2017

Gave a talk entitled ”The unit group of an integral group ring” in Group Theory Sangam (Weekly seminars for group theorists) on February 02, 2021. 

Invited speaker (Outreach)

Gave a talk on “Mathematics: Why to study” (https://youtu.be/yJw6QQ2Kcl0) for a series under Teach for Science initiative by an NGO called PRAYAS (https://www.prayaspunjab.in/) on July 16, 2022.

Gave a talk on “Why to study Mathematics?” for PU Maths club, De- partment of Mathematics, Panjab University, Chandigarh on August 23, 2023.(https://maths.puchd.ac.in/includes/noticeboard/2022/20220821155415- nnb.pdf?202216081443)

Invited speaker to give a talk on “Mathematics as career: Motivation and awareness” for an event named ”Women In Maths:Progress And Challenges”, organised by IIT Jodhpur on May 08, 2022 to celebrate women in Mathematics.

Invited speaker, Women in STEM, to motivate college girls, on the occasion of International Women’s day, i.e., March 08, 2022.

Gave a talk on “How prime are prime numbers?” for students of High school, on February 25, 2022.

Invited Speaker for a webinar entitled “ Using Softwares in Mathematics” conducted by PU Maths Club, Panjab University Chandigarh, on December 15, 2021.

Invited speaker for a webinar series entitled ‘She Inspires’ conducted by INYAS, during November 21-23, 2020. 

Speaker for a webinar entitled ‘Triangles and Triangular numbers’ for students of Govt. School, Dariya under the banner of INYAS, on February 6, 2021. 

Delivered a lecture on “Computational Mathematics” for post graduate students, in a webinar series conducted by DST, Govt. of Rajasthan in association with INYAS, on April 19, 2020.

Delivered a lecture on “Fun with Mathematics” during a Science camp organised at CSIR-CSIO Chandigarh, on February 17, 2020. 

 
Remote area lectures

Conducted a lecture on “Mathematics is fun: Playing with numbers” at Govt. Senior Scondary School, Thapli, Dist. Panchkula on February 5, 2020.

Conducted a lecture “Solid Geometry made easy” at Govt. Senior Secondary School, Mandhana, Dist. Panchkula on July 24, 2019.

Conducted a lecture “Science: A way of life” at Government High School, Otalan, Punjab, April 27, 2019.

Teaching(regular)

2022 Elective course Structure of finite groups (MTH423), even semester, to the Ph.D. scholars a programs at IISERM.

2021 Elective course Representations of finite groups (MTH422), odd semester, to the students of BS-MS and Int. Ph.D. programs at IISERM.

2019 Elective course Representations of finite groups (MTH422), odd semester, to the students of BS-MS and Int. Ph.D. programs at IISERM.

2018 Elective course Structure of algebras (MTH412), during even semester, to the students of BS-MS and Int. Ph.D. programs at IISERM.

2018 Conducted seminars under the courses IDC352, IDC452 and IDC602 for the students of BS-MS Dual Degree Program and Ph.D. students at IISERM.

2018 Supervised a project entitled On the unit group of an integral group ring, under the course code PRJ406 for an Int. Ph.D. program student at IISERM.

2013 Taught the subsidiary course Differential Equations and Fourier Series (MTH215S), during odd semester, to the students of B.Sc.(Hons.), Physics Department, Panjab University, Chandigarh.

Teaching associate

2017 Teaching associate, Odd semester, Curves and Surfaces (MTH201) at IISERM.
2017 Teaching associate, Even semester,
Probability and Statistics (MTH202) at IISERM.
2016 Teaching associate, Odd semester,
Symmetry (MTH101) at IISERM.
2015 Tutor,
Modules over PID, Annual Foundation School-II, Shiv Nadar University, Noida 2014 Lectures on GAP, Teacher Enrichment Workshop, Punjabi University, Patiala.
2013 Tutor, Mathematics Training & Talent Search Programme, Panjab University, Chandigarh. 2012 Tutor,
Representation Theory, Advanced Instructional School, IISER Mohali.

Workshops participation

Participated in an online workshop An Introduction to R for Data Science, conducted during December 14-17, 2020 by University of Cambridge.

Participated in Science Leadership Workshop organised by Central University of Punjab, Bathinda, India during June 22-28, 2020.

Attended “Indian Women and Mathematics-regional workshop”, at Punjabi University, Patiala, February 06-07, 2017.

Some High Points of Undergraduate Mathematics Education, at IISERM, May 14, 2015. 2012 Advanced Instructional School in Algebra (AIS), at IISERM, July 3-21, 2012.

Attended Symposium in Mathematics, at Panjab University, Chandigarh, February 7-8, 2012. 2011 Participated in Annual Foundation School (AFS)-I, at IISER Pune, December 5 -31, 2011.

Participated in Annual Foundation School-II, at Panjab University, Chandigarh, June 2- 29, 2011. 2010 Summer Programme in Mathematics, at Harish-Chandra Research Institute, Allahabad, June 21-July 10, 2010.

Mathematics Training & Talent Search Programme (MTTS), at RIE, Mysore, May 18-June 13, 2009.

Lectures/seminars attended

Attended online conference entitled Virtual Math Fest 2020 held during July 20-26, 2020.

Attended International Conference of Young Scientists of the Global Young Academy (GYA), held in Halle (Saale), Germany, during May 1 3, 2019.

Meeting on Combinatorics and Computation in groups, University of Edinburgh, UK, November 22,

Conference on Group Theory and, Algebraic Combinatorics, Novosibirsk State University, Russia, July 16-21, 2017.

Seminar entitled India in the 21st Century :The Role of Higher Education, Tagore theatre, Chandigarh, conducted on February 19, 2014.

Seminar entitled From the Indus Valley to Srinivasa Ramanujan: A History of Indian Mathematics, held at Panjab University, Chandigarh, February 19, 2014 .

The 7th Chandigarh Science Congress CHASCON-2013, Panjab University, Chandigarh, during March 1-3, 2013.

Thrust areas of Algebra, Number Theory and Applied Mathematics, Panjab University, Chandigarh, during Feb. 22-23, 2013.

Seminar on Number Theory and Discrete Mathematics, Panjab University, Chandigarh, during November 12-13, 2013.