Dr. A. Satyanarayana Reddy | Department of Mathematics

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Dr. A. Satyanarayana
Reddy
Associate Professor
Department of Mathematics
School of Natural Sciences (SNS)
satya.a@snu.edu.in
A111E
Block-A, Shiv Nadar University
Gautam Buddha Nagar Uttar Pradesh
India
Extn: 
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Profile Summary 

I am interested in working in Algebraic Graph Theory, combinatorial matrix theory and Algebraic Number Theory. Few key areas of my research are polynomials divisible by cyclotomic polynomials, Ramanujan sums, circulant matrices, circulant graphs, applications of Ramanujan sums and circulant matrices in signal processing and image processing. Also interested in exponents of nonnegative matrices, arithmetic functions and total positivity of matrices which arise from combinatorics. I often serve as resident faculty for the Mathematical Training & Talent Search program  and ATM (advanced training in mathematics) schools sponsored by the National Board for Higher Mathematics.

Project

Serb Matrix project File NO. MTR/2019/001206 for three years 2020 to 2022  titled Polynomials with integer coefficients divisible by cyclotomic polynomials.

Educational Qualifications 
2011
Ph.D
Indian Institute of Technology Kanpur
M.Sc Mathematics
Andhra University
M.A Education
Andhra University
B.Sc
Ideal Degree College, Kakinada
Work Experience 
05/01
08/06
Assistant Professor,
C.V.R College of Engineering, Hyderabad,
Hyderabad, Telengana
10/11
03/12
Assistant Professor,
Sir Padampat Singania University,
Rajasthan
04/12
03/19
Assistant Professor,
Shiv Nadar University,
Greater Noida
04/19 – Present
Associate Professor,
Department of Mathematics, School of Natural Sciences, Shiv Nadar University, Delhi-NCR
I currently work here
Courses Taught(Selected) 
Graph Theory (MAT642)
Linear Algebra (MAT660)
Algebraic Number Theory (MAT808)
Non Negative Matrices (MAT809)
Algebraic Graph Theory (MAT807)
Calculus II (MAT102)
Mathematical Methods II (MAT104)
Algebra I (MAT240)
Linear Algebra (MAT160)
Algebra II (MAT241)
Elementary Number Theory (MAT440)
Error Correcting Codes (MAT543)
Combinatorial Design Theory (MAT544)
Undergraduate Seminar (MAT299)
Commutative Algebra (MAT341)
Combinatorics (MAT246)
Awards(Selected): 
2006

First position for oral presentation on Respectable Graphs, presented in a national seminar held at
Brahmanand college, Kanpur on February 12, 2011.

Scholarly Activity

Journal Publications (accepted or published)

2023

1. Shivani Chauhan and A. Satyanarayana Reddy, On the double covers of a line graph accepted for publication in Contributions to Discrete Mathematics.

2. A. Satyanarayana Reddy, Pattern polynomial graphs, accepted for publication in Indian journal of pure and applied mathematics.

2022

1. Biswajit Koley, A.Satyanarayana Reddy,  An irreducible class of polynomials over integers, Journal of Ramanujan Mathematical Society, Soc. 37, No.4 (2022) 319--330.

2. Ayush Bhora, A. Satyanarayana Reddy PERMANENTS OF 3 × 3 INVERTIBLE MATRICES MODULO N,  #A67, INTEGERS 22 (2022).

3. Veer Singh Panwar, A. Satyanarayana Reddy, Positivity of Hadamard powers of few band matrices,   Electronic Journal of Linear Algebra, (2022), Vol.38, 85-90.

4.  Mallika Muralidharan and A. Satyanarayana Reddy, Alternating Sign Matrices, Black board, Bulletin of the Mathematics Teachers’ Association (India), (2022), Issue 4, 37-44.

2021

1.  Ayush Bohra, A. Satyanarayana Reddy, Permanents of 2x2 Matrices Modulo n, The
PUMP Journal of Undergraduate Research, (2021) Vol.4, 141-145.

2. Monimala Nej and A. Satyanarayana Reddy,  Exponents of Primitive Symmetric Companion Matrices, Indian J. Discrete Math., Vol. 7, No.1 (2021) pp. 43–66.

 

2020

1.  K. Siddharth Choudary, A. Satyanarayana Reddy, Calkin-Wilf tree, Resonance, Vo.25,
No.7, 2020,1001–1013.
DOI: https://doi.org/10.1007/s12045-020-1015-x
2. Siddharth Choudary, K and Satyanarayana Reddy, A. (2020) Number of tuples with a
given least common multiple, Notes on Number Theory and Discrete Mathematics, 26 (2), 53–60.
3. Biswajit Koley, A.Satyanarayana Reddy, An irreducibility criterion for polynomials
over integers, Bulletin Mathematique de la Societe des Sciences Mathematiques de
Roumanie, Volume 63 (111)/2020, Issue no. 1, pages 83-89.
4. Priyanka Grover, Veer Singh Panwar and A. Satyanarayana Reddy, Positivity properties
of some special matrices Linear algebra and applications, Vol 596,(2020), 203–215.
5. B. S. Shaik, V. K. Chakka and A. Satyanarayana Reddy, Orthogonal and Non-Orthogonal
Signal Representations Using New Transformation Matrices Having NPM Structure,
IEEE Transactions on Signal Processing, vol.68,(2020), 1229–1242.
6. Biswajit Koley and A. Satyanarayana Reddy, Irreducibility of x n − a, The Mathematics
Student, Vol. 89, Nos. 1-2, January-June (2020), 169–174.

 

2019

1. Monimala Nej, A. Satyanarayana Reddy, A Note on the Exponents of Primitive Companion Matrices, Rocky Mountain journal of Mathematics, Volume 49, No.5, (2019), 1633–1645.
2. Devendra Prasad, Krishnan Rajkumar, A. Satyanarayana Reddy A survey on Fixed divisors Confluentes Mathematici, 11 no. 1 (2019), 29–52.
3. B. S. Shaik, V. K. Chakka and A. Satyanarayana Reddy, On Complex Conjugate Pair Sums and Complex Conjugate Subspaces, IEEE signal processing letters, vol 26, issue 9, (2019),1403–1407.
4. Biswajit Koley, A.Satyanarayana Reddy, Irreducibility criterion for certain trinomials, Malaya Journal of Matematik, Vol. S, No. 1, (2019), 116–119.
5. Biswajit Koley, A.Satyanarayana Reddy, Cyclotomic factors of Borwein polynomials, The Bulletin of the Australian Mathematical Society, Vol. 100, Issue- 1 (2019), 41–47.
6. Abhijit Santha Jayanthan, A. Satyanarayana Reddy Number of non-primes in the set of units modulo n, The Mathematics Student, Vol. 88, Nos. 1-2, January-June (2019),147–152.
7. B. S. Shaik, V. K. Chakka and A. Satyanarayana Reddy, A new signal representation using complex conjugate pair sums, IEEE Signal Processing Letters, vol. 26, issue 2 (2019)
252–256.
8. Monimala Nej, A. Satyanarayana Reddy, Binary strings of length n with x zeros and longest k-runs of zeros, Indian journal of Mathematics, Vol. 61, No. 1, (2019), 111–139.
2018

1. Krishnan Rajkumar, A. Satyanarayana Reddy,Devendra Prasad, Fixed divisor of a multivariate polynomial over an arbitrary subset of the Cartesian product of a Dedekind domain,J. Korean Math. Soc. 55 (2018), No. 6, pp. 1305-1320.
(https://arxiv.org/abs/1803.05780).

2011 -2017
1. A.K.Lal and A.Satyanarayana Reddy, Non-singular circulant graphs and digraphs, Electronic Journal of Linear Algebra, Volume 26,(2013), 248–257.
2. A.Satyanarayana Reddy, Shashank K Mehta and A.K.Lal, Representation of Cyclotomic Fields and their Subfields, Indian J. Pure Appl. Math., 44(2)(2013),203–230.
3. A.Satyanarayana Reddy, Adjacency Algebra of Unitary Cayley Graph, Journal of Global Research in Mathematical Archives, Vol 1, Issue 1(2013), 77–84.
4. A.Satyanarayana Reddy, Few Non-derogatory Directed Graphs from Directed Cycles, International Journal of Graph Theory, Vol 1,Issue 2(2013), 41–53.
5. A.Satyanarayana Reddy,  Respectable Graphs, International Journal of Mathematical Combinatorics, Vol.2 (2011), 104-110.

Ph.D Students:

1. Dr. Devendra Prasad jointly with Prof Krishnan Rajkumar, JNU, India, defended his thesis on 21st January, 2019. Currently doing post doc in IISER Tirupati.
2. Dr. Monimala Nej, defended  thesis on 21st August, 2019. Currently working as an Assistant professor at Adamas University.
3. Dr. Biswajit Koley, defended thesis on 19th March 2020.
4. Mr. Veer Singh Panwar, jointly with Prof Priyanka Grover, SNU defended thesis on 14th November, 2022.
5. Ms. Shivani Chouhan (in progress).
6. Mr. Shrinit Singh, jointly with Prof Amber Habib (in progress).

7. Ms.  Khyati Sharma (in progress).

8. Ms. Kativa Samant (in progress).

 

 

Undergraduate thesis

1.  Ganesh Gupta  on Diophantine equations (2015).

2. Bharath Sivakumar on The game of Hex (2018).

3. Ms.Aninya Gangal on Applications of nth roots of unity(2018).

4. Mr.Siddarth Choudary on Koduri Exponent of (0,1)-matrices (2020).

5. Mr.Abhijit Santha-Jayanthan on   Sheaf Cohomology and Serre Duality (Done with Dr. Krishna Hanumanthu,CMI) (2020).

6. Mr. Mayank Roy (M.Sc student) on  Secret Sharing (2014).

Invited Speaker

2022

a) Academic Coordinator for online OFCM-Followup-Real analysis, 9th Jan to 21st Jan 2022.
b) Academic Coordinator for online OFCM-Followup-Linear algebra, 31st Jan to 13 Feb 2022.
c) Resident Faculty for InIt  Mathematics program held at IIT Bhilai from 7th March to 12th March, 2022 sponsored by NBHM.

d) Invited talk on ``Applications of Coding theory and Cryptography'' in an annual symposium  ``Real-life Applications of Mathematical Concepts'' organized by The Mathematics Society and the Department of Mathematics of St. Stephen's College, Delhi on 22nd April, 2022.
 e) Invited  as a resource person for  Ganitha Poorna 2021-22, A Mathematics Nurture Programme  from 9th May to 13th May, 2022 at the Poornaprajna College and Postgraduate Centre, Udupi.
 f) Resident faculty for 30th MTTS program held at IIT Ropar from 23/05/2022 to 18/06/2022.
 g)  Presented a talk entitled “Primitive Companion Matrices” at the 24 th Conference of the International
Linear Algebra Society at National University of Ireland, Galway, June 20-24, 2022.

 2021

a) Invited talk, Pi and Primes, on 14th March, 2021 organized by Adamas University, Kolkata.

b) Participated in several activities related to  MTTS, some times as an instructor, some times as a coordinator.

c) Organizer and associate teacher for the Annual foundation school-II, held at Shiv Nadar University, 29 Nov 2021 to 8 Jan 2022.

 2020

a) As a resource person for mini-MTTS program from 27th January, 2020 to 1st Febru-
ary,2020 held at VNIT, Nagpur, sponsored by NBHM.
(b) As a resource person for mini-MTTS program from 17th February, 2020 to 22nd
February,2020 held at DAV College for Women,Firozpur Punjab, sponsored by NBHM.
(c) As an associate teacher for Virtual AFS-1, organized by SGGS, Nanded from 28th April
to 30th May.
(d) As a resource person for online MTTS program from 1st June to 20th June 2020.
(e) Invited speaker for five day faculty development program from 13th July to 17th July
2020, organized by Commissionerate of collegiate edducation Govt of Andhra Pradesh.
(f) Invited talk on Division Algorithm and its applications on 8th August,2020, organized
by Poornaprajna College and post graduate center, Udipi, Karnataka.
(g) Resource person for Online Foundation Course in Mathematics (OFCM-2020) organized
by the MTTS Trust during 04-24 October, 2020.
(h) Resource person for Online SDP on Linear algebra and its applications organized by
Department of Mathematics SGTB Khalsa College, Sri Anandpur Sahib, Punjab from
26th October to 7th November 2020.
(i) Resource person for 80th Refresher Course in Mathematics and Statistics Sciences for
the college and university teachers organized by UGC-Human Development Center,
Punjabi University, Patiala from 16th November to 28th November, 2020.
(j) Invited talk on Pigeonhole Principle and Its Applications organized on 8th November,
2020 by Math club of MTTS Alumni.

 2019

(a) As a resource person for Mini-MTTS program from 7th January to 12th January,2019
conducted at SGTB Khalsa College, Sri Anandpur Sahib, sponsored by NBHM.
(b) Associate teacher for AFS-1 (Annual Foundation School-1) from 6 th May to 18 th May
2019 held at HRI, Prayagraj.
(c) As a resource person for MTTS program from 20th May to 15th June,2019 conducted at
IISER Thiruvananthapuram, sponsored by NBHM.
(d) As a resource person for Mini-MTTS program from 26th August to 1st September,2019
held at Silver Jubilee Government College, Kurnool, AP, sponsored by NBHM.
(e) As a resource person for mini-MTTS program from 2nd December to 7th December, 2019
 held at IIT, Mandi, sponsored by NBHM.
(f) Invited talk on Foundations and Group Theory at Dr. G. Shankar Government Womens first grade
college and PG study center, Udipi, Karnataka on 24/12/2019 and 25/12/2019.
(g) As a resource person for Ganitha Poorna-2019, from 27th December to 31st December
held at Poornaprajna College, Udipi.

 2018
(a) As a resource person for MTTS program from 21st , May 2018 to 16th June 2018
conducted at SSN college of Engineering, Chennai, sponsored by NBHM.
(b) As a resource person for Mini-MTTS program from 24th , Sep 2018 to 29th Sep 2018
conducted at RIE, Ajmer, Rajasthan, sponsored by NBHM.
(c) Invited to give a seminar on introduction to algebraic graph theory at St Stephen’s
College on 23rd October, 2018.
(d) As a resource person for Mini-MTTS program from 3rd December to 8th December,2018
conducted at IIT Mandi, sponsored by NBHM.

(e) As a resource person for Ganitha Poorna-2018, from 27th December to 31st December
held at Poornaprajna College, Udipi.
(f) Invited talk on Rings and fields at Dr. G. Shankar Government Womens first grade
college and PG study center, Udipi, Karnataka on 29/12/2018.

2017
(a) As a Resource person for mini-MTTS program from 19th January, 2017 to 24th January
2017 conducted at Tripura University Agartala, sponsored by NBHM.
(b) As a Resource person for MTTS program from 29th May, 2017 to 24th June 2017 held
at IIT Indore.
(c) Invited lecture on Applications of 0,1 matrices at Sri H.D Devegowda Government
first grade college, Paduvalahippe, Hasan, Karnataka on 22nd September, 2017.
(d) Invited Lecture on Nth roots of unity at Smt Rukmini Shedthi Memorial National
Government First Grade College, Barkur, Karnataka on 26th September, 2017
(e) Invited Lecture on Introduction to Algebraic Graph theory at Poornaprajna College,
Udipi, Karnataka on 28th September, 2017.
(f) Invited Lecture Series on Linear algebra and Number Theory at Dr. G. Shankar
Government Womens first grade college and PG study center, Udipi, Karnataka. from
23rd September to 30th September, 2017.
(g) As a Resource person for mini-MTTS program from 4th December, 2017 to 9th December 2017 conducted at IIT Mandi, sponsored by NBHM.
(h) Invited speaker for Annual Foundation school-1, held at IIT Delhi from 19 th Dec to 23 rd
Dec, 2017.
 

 2016
(a) As an Associate Teacher (Tutor) in AIS(Advanced instructional School)-Matrix analysis
held at Shiv Nadar university, Delhi from 2nd May to 22nd May, 2016.
(b) As a resource person in MTTS-O-level, from 30th May to 25th June 2016, to be held at
SNU, sponsored by NBHM.
(c) As an Associate Teacher in IST (Instructional school for Teachers)-Algebraic Number
Theory, held at S.P. Pune University, Pune, from 3rd October to 15th October 2016.
(d) External examiner for M.Sc and M.Phil Mathematics student’s comprehensive viva,
Devi Ahilya university, Indore from 14th December to 16th December, 2016.

2015

(a) As a tutor in AFS-II, held at SNU from 4th May to 30th , May, 2015.
(b) As a resource person in MTTS-O-level, from 1st June to 27th June 2015, to be held at
SNU, sponsored by NBHM.
(c) As a resource person in AFS-III to be held at HRI, Allahabad from 29th June to 4th July
2015.
(d) As a Resource person in mini-MTTS program from 26 th July 2015 to 31st July 2015
conducted at Jammu Kashmir Institute of Mathematical Sciences, Srinagar, sponsored
by NBHM.
(e) As an Associate Teacher (Tutor) in IST (Instructional school for Teachers)-Number
Theory held at Kerala School of Mathematics, Kozhikode, Kerala, from 5th October to
17th October, 2015.

2014
(a) As a Resource person in mini-MTTS program from 9 th June 2014 to 21st June 2014
conducted at IIT Patna, sponsored by National Board for Higher Mathematics (NBHM).
(b) Resource person in Summer School- 29th June to 20th July 2014, organized by Depart-
ment of Mathematics, SNU.
(c) As a Resource person in mini-MTTS program from 2nd August 2014 to 12th August 2014
conducted at Jammu Kashmir Institute of Mathematical Sciences, Srinagar, sponsored
by NBHM.
(d) Visiting Professor, Harish Chandra Research Institute, Allahabad, from 17/10/2014 to
24/10/2014.
 

2012 and 2013
(a) Teacher observer in MTTS program May-June 2012 held in IIT Kanpur, sponsored by
National Board for Higher Mathematics, Govt of India.
(b) Teacher observer in MTTS program from 20 th May 2013 to 1 st June 2013, held in
NIT,Surat, Gujarat, sponsored by National Board for Higher Mathematics, Govt of India.
 

Conference Publications

1) B. S. Shaik, V. K. Chakka, S. Goli, and A. Satyanarayana Reddy, Removal of Narrowband
Interference (PLI in ECG Signal) Using Ramanujan Periodic Transform (RPT)}, in International Conference on Signal Processing and Communication (ICSC), 2016.
(https://arxiv.org/pdf/1708.00040.pdf) ( DOI: 10.1109/ICSPCom.2016.7980582 .)
 2)  Jaya Shukla, Vijay K Chakka, A. Satyanarayana Reedy and Madan Gopal,  
 Graph Fourier Transform Based Descriptor for Gesture Classification, Fourth International Conference on Image Information Processing (ICIIP-2017), December  21- 23, 2017 held at JUIT, Solan.
( DOI: 10.1109/ICIIP.2017.8313746 )

3) Remya Krishnan, A.Satyanarayana Reddy, and Pawan K. Dhar,
 Computational Analysis of miRNA “hubs” towards Therapeutic Applications  at the conference and publication in Proceedings of the Kuala Lumpur conference Sept. 2014.

 

Conference/Symposium

1) A.Satyanarayana Reddy,  Bose-Mesner algebra, open house-08, Department of mathematics and statistics, IITK, India.

2)  A.Satyanarayana Reddy, Non-singular $\eta(x)$-circulant digraphs, Presented in an International conference  IMST-2010-FIM -IXX at Patna University, Patna, India.

3)  A.Satyanarayana Reddy,  Association schemes from generously transitive graphs, Presented in a national workshop on Block designs and its applications, CMS, Banasthali University, Rajasthan on February 8, 2011.

4)  A.Satyanarayana Reddy, Respectable Graphs, Presented in a national seminar held at Brahmanand college, Kanpur on February 12, 2011.

5) A.Satyanarayana Reddy,  Pattern Polynomial graphs, presented in Spring school in discrete probability, ergodic theory and combinatorics held in Graz university of Technology, Graz, Austria from April 4 to April 15, 2011.
6)  A.Satyanarayana Reddy,  Adjacency Algebra of Unitary Cayley Graph,  27th Annual Conference of the Ramanujan Mathematical Society (RMS), Organized by SNU .
7)  A.Satyanarayana Reddy, Shashank K Mehta  and  A.K.Lal, Pattern Polynomial graphs,  India-Taiwan Conference on Discrete Mathematics, NCTU Taiwan, November 18-22, 2013.

8) Invited talk on Euler’s Product formula, at “One-day national workshop on analysis and topology” on  27th September, 2017 Dr. G. Shankar Government
Women’s first grade college and PG study center, Udipi, Karnataka.
 9) Invited talk on Graph Algebras, Two day conference on Graph theory and Discrete Mathematics, 5Th -6th February 2018,  held at Mangalore University..

10) Invited talk on  Exponents of primitive graphs, Two day national conference on recent advancements in graph theory, November 9-10, 2019 held at Gujarat University, Ahmadabad.

11) Invited talk on Edge adjacency matrix of a graph, two day national conference on NATIONAL CONFERENCE ON
EMERGING TRENDS IN GRAPH THEORY (NCETGT-2020 , February 27-28, 2020 held at Christ University, Bangalore.

12) Presented a talk entitled Primitive Companion Matrices at the 24 th Conference of the International
Linear Algebra Society at National University of Ireland, Galway, June 20-24, 2022.

13)  invited lecture on  Polynomials with integer coefficients  divisible by cyclotomic polynomials during the Conference on Algebra, Analysis and Applications on 05 August 2022 at Dr. B. R. Ambedkar University Delhi (AUD).

14)  Invited talk on  Numbers with a group theoretic property, National Conference on Scope of Research in Discrete mathematics as per NEP” (NCSRDMN-2022), Nov 28-30, Udipi.

15) Invited talk on  Elements of $\Z_n$,  International Conference on  Graphs and Combinatorics-2022, Dec 1-3, Mangalore University.