Dr. Vasudeva Rao Allu
Associate Professor
School of Basic Sciences
Office : School of Basic Sciences, Room No:125
Phone : +91-674-7135120
Email :
avrao@iitbbs.ac.in, alluvasudevarao(AT)gmail(DOT)com
Education
| Degree | Discipline | Year | School |
|---|---|---|---|
| Post Doctoral Fellow | Mathematics | 2011 | Technion-Israel Institute of Technology, Haifa, Israel |
| Ph.D. | Mathematics | 2010 | Indian Institute of Technology Madras |
| M.Sc. | Mathematics | 2002 | University Of Hyderabad |
Research Interests
Complex Analysis; Geometric Function Theory; Harmonic Mappings in the Plane.
Other Profile Link(s)
Teaching
Autumn-2020: Mathematics-I (MA1L001) for B.Tech.(First Semester)
Publications
Journals
1 Vasudevarao Allu and Himadri Halder,
Bhor radius for certain starlike and convex univalent functions,
Journal of Mathematical Analysis and Applications 493(2021), 124519.
2Md. Firoz Ali, A. Vasudevarao and H. Yanagihara,
An application of Schur algorithm to variability regions of certain analytic functions-I.
Computational Methods and Function Theory (2020) (To appear)
3 Vasudevarao Allu and Abhishek Pandey,
Zalcman Conjecture for certain analytic and univalent functions,
Journal of Mathematical Analysis and Applications 492(2020), 124466.
4 Md. Firoz Ali, Vasudevarao Allu and Nirupam Ghosh,
A convolution property of univalent harmonic right half mappings,
Monatshefte für Mathematik 193(2020),729-736.
5Md. Firoz Ali, A. Vasudevarao and H. Yanagihara,
On a class of univalent functions defined by a differential inequality,
Journal of Ramanujan Mathematical Society 35 (2020), 217-226.
6Nirupam Ghosh and Vasuevarao Allu, On some subclass of harmonic mappings, Bulletin of the Australian Mathematical Society 101(2020),
130--140.
7Vasudevarao Allu, Janusz Sokol and Derek K Thomas,
On a close-to-convex analogue of certain starlike functions,
Bulletin of the Australian Mathematical Society 102(2020), 268-281.
8Md Firoz Ali and Vasudevarao Allu, Coefficient estimates and integral mean estimates for certain classes of analytic functions, C. R. Math. Acad. Sci. Paris 357 (2019), 436-442.
9Nirupam Ghosh and A. Vasudevarao, The radii of fully starlikeness and fully convexity of a harmonic operator, Monatshefte für Mathematik 188 (2019) 653--666.
10Nirupam Ghosh and A. Vasudevarao, On some subclass of harmonic close-to-convex mappings, Monatshefte für Mathematik 188(2019), 247--267.
11Vasudevarao Allu, Derek K. Thomas and Nikola Tuneski, On Ozaki close-to-convex functions, Bulletin of the Australian Mathematical Society 99(2019), 89--100.
12Md Firoz Ali, Allu Vasudevarao and Derek K. Thomas, On the third logarithmic coefficient close-to-convex functions, A. Lecko(ed), Current research in Mathematical and Computer Sciences-II Publisher UWM, Olsztyn (2018), 271-278. ISBN-978-83-8100-170-0.
13Allu Vasudevarao and Derek K. Thomas, The logarithmic coefficients of univalent functions, Current research in Mathematical and Computer Sciences-II A. Lecko(ed), Current research in Mathematical and Computer Sciences-II Publisher UWM, Olsztyn (2018), 257-269. ISBN-978-83-8100-170-0.
14Samiran Chakraborty and Allu Vasudevarao, On Stable Functions, Computational Methods and Function Theory 18(2018), 677--688.
15Derek K. Thomas, Nikola Tuneski and Allu Vasudevarao, Univalent Functions: A Primer, De Gruyter Studies in Mathematics, 69, De Gruyter, Berlin, Boston, 2018, xiii+252 pp, ISBN 978-3-11-056096-1
16Md Firoz Ali and A. Vasudevarao, On Certain Families of Analytic Functions in the Hornich Space, Computational Methods and Function Theory 18(2018), 643–659.
17Nirupam Ghosh and A. Vasudevarao, Some basic properties of certain subclass of harmonic univalent functions, Complex Variables and Elliptic Equations 63 (2018), 1687—1703.
18U. Pranav Kumar and A. Vasudevarao, Logarithmic coefficients for certain subclasses of close-to-convex functions, Monatshefte für Mathematik 187(2018), 545--563.
19Md Firoz Ali, D. K. Thomas, and A. Vasudevarao, Toeplitz determinants whose elements are the coefficients of analytic and univalent functions, Bulletin of the Australian Mathematical Society 97(2)(2018), 253--264.
20Md Firoz Ali and A. Vasudevarao, On logarithmic coefficients of some close-to-convex functions, Proceedings of the American Mathematical Society 146(3)(2018), 1131--1142.
21Md Firoz Ali and A. Vasudevarao, Logarithmic coefficients of some close-to-convex functions, Bulletin of the Australian Mathematical Society 95 (2017), 228–237.
22Md Firoz Ali and A. Vasudevarao, On Coefficient Estimates of Negative Powers and Inverse Coefficients for Certain Starlike Functions, Proceedings of the Indian Academy Of Science (Math. Sci.) 127(3)(2017), 449--462.
23Nirupam Ghosh and A. Vasudevarao, Coefficient estimates for certain subclass of analytic functions defined by subordination, Filomat 31(11) (2017), 3307-3318.
24A. Vasudevarao, Fekete–Szegö inequality for certain spiral-like functions, C. R. Math. Acad. Sci. Paris 354 (2016), 1065–1070.
25M. Okada, S. Ponnusamy, A. Vasudevarao and H. Yanagihara, Circular symmetrization, subordination and arclength problems on convex functions, Mathematische Nachrichten 289 (2016), 1044–1051.
26Md Firoz Ali and A. Vasudevarao, Coefficient inequalities and Yamashitas conjecture for some classes of analytic functions, Journal of the Australian Mathematical Society 100(1) (2016), 1-20.
27A. Vasudevarao, Fekete-Szegö problem for certain subclasses of univalent functions, Bulletin of the Korean Mathematical Society 52 (6)(2015), 1937–1943.
28Md Firoz Ali and A. Vasudevarao, Integral Means and Dirichlet integral for certain class of analytic function, Journal of the Australian Mathematical Society 99(3)(2015), 315--333.
29A. Vasudevarao, An Arclength problem for some subclasses of m-fold symmetric functions, Mathematica (Cluj) 56(79)(2014), 182-192.
30A. Vasudevarao, An arclength problem for some subclasses of univalent functions, The Journal of Analysis 22 (2014), 145-149.
31A. Vasudevarao, Region of variability for some subclasses of univalent functions,Springer Proc. Math. Stat. 91 (2013), 151–170.
32A. Vasudevarao and Hiroshi Yanagihara, On the growth of analytic functions in the class ${mathcal U}(lambda )$, Computational Methods and Function Theory 13(4) (2013), 613--634.
33S. Ponnusamy, A. Vasudevarao and M. Vuorinen, Region of variability for exponentiall convex functions, Complex Analysis and Operator Theory 5(3) (2011), 955--966.
34S. Ponnusamy and A. Vasudevarao, Region of variability for functions with positive real part, Annales Polonici Mathematici 99(3)(2010), 225--245.
35S. Ponnusamy, A. Vasudevarao and H. Yanagihara, Region of variability for close-to-convex functions-II, Applied Mathematics and Computation 215(3)(2009), 901--915.
36S. Ponnusamy, A. Vasudevarao and M. Vuorinen, Region of variability for certain classes of univalent functions satisfying differential inequalities, Complex Variables and Elliptic Equations 54(10)(2009), 899--922.
37S. Ponnusamy, A. Vasudevarao and M. Vuorinen, Region of variability for spirallike functions with respect to a boundary point, Colloquium Mathematicum 116(1)(2009), 31--46.
38S. Ponnusamy, A. Vasudevarao and H. Yanagihara, Region of variability of univalent functions $ f(z)$ for which $ zf'(z)$ is spirallike, The Houston Journal of Mathematics 34(4) (2008), 1037--1048.
39S. Ponnusamy, A. Vasudevarao and H. Yanagihara, Region of variability for close-to-convex functions, Complex Variables and Elliptic Equations 53(8)(2008), 709 -- 716.
40S. Ponnusamy and A. Vasudevarao, Region of variability of two subclasses of univalent functions, The Journal of Mathematical Analysis and Applications 332 (2007), 1323--1334.
Conferences
1Plenary talk entitled “ The Bohr phenomenon for certain analytic and univalent functions” at The VI Conference of Mathematics and Computer Science, "Congressio Mathematica", Olsztyn, Poland, during November 21-22; 28–29, 2020.
2Invited talk: On logarithmic coefficients of some close-to-convex functions
at International Webinar on Recent Trends in Geometric Function Theory & Applications (RTGFTA-2020), September 18-21, 2020
KIIT Deemed to be University, Bhubaneswar
3Plenary talk entitled “ On the Third Logarithmic Coefficient of Close-to-convex Functions”
(with Md Firoz Ali and D.K. Thomas) at
Congressio Mathematica, Olsztyn, Poland, during September 23–25, 2018.
4The paper entitled “Certain subclasses of harmonic univalent mappings” (with Nirupam
Ghosh) has been presented in Short Communication at International Congress
of Mathematicians (ICM 2018), Rio de Janeiro (Brazil) during August 1–9, 2018.
5Invited talk at International Symposium in Geometric Function Theory and
Applications at Isik University, Turkey during August 26-September 4, 2013.
Title of the talk: “On the Growth of Some Subclasses of the Class of Univalent Functions”
6Talk at International Congress of Mathematicians (ICM 2010) at Hyderabad,
August 19–27, 2010.
Title of the talk: “ Region of variability for spirallike functions with respect to a
boundary point”
7Talk at ICM 2010-Satellite Conference: International Workshop on Harmonic
and Quasiconformal Mappings (HQM2010) at IIT Madras, August 09-17, 2010.
Title of the talk:“ Region of variability for functions with positive real part”.
8Talk at International conference on Complex Analysis and Related Topics,
12th Romannian-Finnish Seminar at University Turku, Finland, August 17-21,
2009.
Title of the talk:“Region of variability for exponentially convex univalent functions”
9Invited talk at Finnish Mathematical Days 2008 at Helsinki University of
Technology, Helsinki, Finland, January 3-4, 2008.
Title of the talk:“Region of variability for certain classes of univalent functions satisfying
differential inequalities”
10Talk in 22nd Annual conference of Ramanujan Mathematical Society at the Department
of Mathematical and Computational Sciences, National Institute of
Technology Surathkal, India during June 6-8, 2007.
Title of the talk: “Region of variability for certain subclasses of univalent functions”
(Awarded for the Best Paper Presentation Award)
Academic Honors & Awards
- Teaching Excellence Award 2020, IIT Bhubaneswar (2020)
- Member of the National Academy of Sciences, India (2019)
- Editor of the Bulletin of Mathematical Analysis and Applications (Since 2019)
- Elected Member of the London Mathematical Society (Since 2018)
- Selected for International Congress of Mathematicians 2018-Open Arms Travel Grant. (2018)
- Post-Doctoral Fellowship at Technion-Israel Institute of Technology, Haifa, Israel (2010)
- NBHM (Govt. of India) Post-Doctoral Fellowship (2010)
- Distinguished CIMO Fellowship (Center for International Mobility), Finland (2007 and 2009)
- The Best Paper Presentation Award at 22 nd Annual Conference of Ramanujan Mathematical Society (2007)
- Gold Medal and Aryabhatta Award for securing State First Rank in Andhra Pradesh Mathematical Olympiad at M.Sc. level conducted by Andhra Pradesh Association of Mathematics Teachers (A.P.A.M.T.) (2002)
Ph.D. Completed :
1) Md. Firoz Ali (2017)
2) Nirupam Ghosh (2019)
Ph.D. Ongoing :
1) Mr. Himadri Halder (CSIR)
2) Mr. Abhishek Pandey (PMRF)
Post-Doctoral Fellow:
Dr. Malla Basir Ahamed (Institute Post Doctoral Fellow)
Other Responsibilities at IIT Bhubaneswar
1) Member of the Faculty Search Committee for Visiting Faculty of foreign Orign (Mathematics)
2) Coordinator of the Colloquium (Mathematics)
3) Coordinator of the Research Scholoars (Mathematics)
4) Faculty Advisor for M.Sc. (Mathematics)
Professional Membership
1.Member, National Academy of Sciences, India (2019)
2. Elected Member, London Mathematical Society (Since November 2018)
2. Member, American Mathematical Society (Since January 2011)
3. Life Member, Indian Mathematical Society, India
4. Life Member, Ramanujan Mathematical Society, India
5. Life Member, Forum de' Analystes, India
3. Life Member, Indian Mathematical Society, India
4. Life Member, Ramanujan Mathematical Society, India
5. Life Member, Forum de' Analystes, India
Professional Services
1. Reviewer of Mathematical Reviews of American Mathematical Society (Since 2009)
2. Reviewer of Zentralblatt (Since 2010)
Fellowships
1. Post-Doctoral Fellowship at Technion-Israel Institute of Technology, Haifa,
Israel. (2010)
Govt. of India) (2010)
3. Distinguished CIMO (Center of International Mobility) Fellowship
from Ministry of Education, Finland ( 2007)
4. NBHM Senior Research Fellowship at Department of Mathematics,
IIT Madras. (2010)
Book
Derek K. Thomas, Nikola Tuneski and Allu Vasudevarao,Univalent Functions: A Primer, De Gruyter Studies in Mathematics, 69, De Gruyter, Berlin, Boston, 2018, xiii+252 pp, ISBN 978-3-11-056096-1.
Research Visits
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Visiting Assistant Professor at the Department of Applied Sciences, Yamaguchi University, Ube, Japan during December 11–25, 2011.
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Projects:
Ongoing Project:
1) Title of the Project: A study of harmonic analogue of certain univalent and analytic functions
Funding Agency: SERB, MATRICS (Mathematical Research Impact Centric Support)
Duration: 2020-2022.
2) Title of the Project: An enquiry into the problems in Geometric Function Theory
Funding Agency: SERB, CRG (Core Research Grant)
Duration: 2021-2023.
Completed Projects:
1) Title of the project : Certain conjectures on univalent and
harmonic mappings
Principal Investigator : Dr. Vasudeva Rao Allu
Co-Principal-Investigators : None
Funding Agency : SERB, Govt. of India (under the scheme
“Start Up Research Grant (Young Scientist))”
Cost of the Project : Rs. 15,30,100/-
Status : Completed
2) Title of the project: Problems and Conjectures in Geometric
Function Theory
Principal Investigator : Dr. Vasudeva Rao Allu
Co-Principal-Investigators : None
Funding Agency : NBHM “(Department of Atomic Energy), Govt. of India
Cost of the Project : Rs. 1,50,0000/–
Status: Completed
3) Title of the project: Coefficient bounds, distrotion condition or subclasses
of univalent functions and Nitsche type conjectures for
harmonic univalent functions
Principal Investigator : Dr. Vasudeva Rao Allu
Co-Principal-Investigators : None
Funding Agency : ISIRD, SRIC, IIT Kharagpur
Cost of the Project : Rs. 3,70,000/-
Status: Completed
Supervision of the Students
Ph.D. students:
1. Md. Firoz Ali
Title of the thesis: Coefficient Problems and geometric properties of certain analytic functions
Year of awarded : 2017, IIT Kharagpur.
Present position: Assistant Professor, Department of Mathematics, NIT Durgapur
2. Nirupam Ghosh (Joint Supervision with Prof. G. P. Raja Sekhar, IIT Kharagpur)
Title of the thesis: Analytic and geometric characterizations of certain subclasses of harmonic functions
Date of Defense: 11-09-2019
Present Position: Adjunct Assistant Professor, Department of Mathematics, VNIT Nagpur
3. Himadri Halder (CSIR Fellow) (Joined on 02.01. 2019) Continuing.
4. Abhishek Pandey (PMR Fellow) (Joined on 01.01.2020) Continuing.
Post Doctoral students:
Dr. Malla Basir Ahamed (Institute Post Doctoral Fellow) Joined on September 2020 --Continuing
M.Sc. students:
1. Name of the student: Manotosh Mandal (10MA40014) [IIT Kharagpur] (2012)
Title of the project: Polynomial coefficients of entire series
Present Position: Working in Govt. Degree College, West Bengal
2. Name of the student: Neelam Singha (11MA40012) [IIT Kharagpur] (2013)
Title of the project: A study on harmonic mappings in the plane and Fekete-Szeg¨o inequality for some
subclasses of univalent functions
Present Position: Completed Ph.D. at IIT Kharagpur in 2018
3. Name of the student: Sushil Kumar Bhuiya (11MA40026) [IIT Kharagpur] (2013)
Title of the project: An Arclength problem for subclass of univalent function
Present Position: Persuing Ph.D. at IIT Kharagpur
4. Name of the student: Gurmeet Kaur (12MA40006) [IIT Kharagpur] (2014)
Title of the project: On The study of coefficients and inverse coefficients for some subclasses
of univalent functions
(Awarded for the Best Project in 2014)
Present Position: Persuing Ph.D. at IIT Kharagpur
5. Name of the student: Meraj Alam (12MA40012) [IIT Kharagpur] (2014)
Title of the project: On neighbourhoods of some subclasses of class of univalent functions
Present Position: Persuing Ph.D. at IIT Kharagpur
6. Name of the student: Ravi Dhiman (14MA40007) [IIT Kharagpur] (2016)
Title of the project: Quasiconformal Mappings in Plane Domain
Present Position: Persuing MS(Computer Science) at IIT Kharagpur
7. Name of the student: Samiran Chakraborty (14MA40023) [IIT Kharagpur] (2016)
Title of the project: Quasiconformal Mappings in a Plane
Present Position: Persuing Ph.D. at IIT Kharagpur
8. Name of the student: Supriya Bhunia (15MA40024) [IIT Kharagpur] (2017)
Title of the project: An Introduction to Harmonic Mappings in the Plane
Present Postion: Persuing PhD at Vidyasagar University, West Bengal
9. Name of the Student: Vikas Jaiswal [IIT Bhubaneswar] (2020)
10. Bhushan Bhise [IIT Bhubaneswar] (2020)
11. Parameswar Gupta [IIT Bhubaneswar] (continuing)
Under graduate students:
1. Name of the student: Pranav Kumar Upadrashta, (11ME10040)
[BTP, IIT Kharagpur] (2016)
Title of the project: On the logarithmic coefficients of certain subclasses of univalent functions
Present Position: Completed MS at Central Michigan University, USA and now persuing Ph.D.
Summer Project students:
1. Diship Srivastava (11CY20015) [KVPY Fellow, IASc Bangalore]
2. Diship Srivastava (11CY20015) [Summer Internship, IIT Kharagpur]
3. Pranav Kumar Upadrashta [Summer Project, IIT Kharagpur]
4. Nirmal Barick, NIT Rourkela [Summer Project, IIT Bhubaneswar]
Conferences Organised
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Organizing Secretary, International Conference on Geometric Function Theory and its Applications (ICGFTA 2014) during December 18--21, 2014 at the Department of Mathematics, IIT Kharagpur.
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Served as one of the organizing Secretaries of ICM 2010 Satellite Conference: International Workshop on Harmonic and Quasiconformal Mappings (HQM2010) at IIT Madras, India, during August 09-17, 2010.
Selected Talks
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The Planary talk “ On the Third Logarithmic Coefficient of Close-to-convex Functions” (with Md Firoz Ali and D.K. Thomas) at Congressio Mathematica, Olsztyn, Poland, during September 23–25, 2018.
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The paper entitled “Certain subclasses of harmonic univalent mappings” (with Nirupam Ghosh) has been presented in Short Communication at International Congress of Mathematicians (ICM 2018), Rio de Janeiro (Brazil) during August 1–9, 2018.
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Invited talk at International Symposium in Geometric Function Theory and Applications at Isik University, Turkey during August 26-September 4, 2013.Title of the talk: “On the Growth of Some Subclasses of the Class of Univalent Functions”.
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Invited talks at the Department of Applied Sciences, Yamaguchi University, Ube, Japan during December 19–23, 2011.
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Talk (in Short Communication) at International Congress of Mathematicians (ICM 2010) at Hyderabad, August 19–27, 2010.Title of the talk: “ Region of variability for spirallike functions with respect to a boundary point”.
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Talk at ICM 2010-Satellite Conference: International Workshop on Harmonic and Quasiconformal Mappings (HQM2010) at IIT Madras, August 09-17, 2010.Title of the talk:“ Region of variability for functions with positive real part”.
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Invited talk in Helsinki Analysis seminar at Department of Mathematics and Statistics, University of Helsinki, Finland on September 28, 2009.Title of the talk: “Region of variability for functions with positive real part”.
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Invited talk in Helsinki Analysis seminar at Department of Mathematics and Statistics, University of Helsinki, Finland on September 14, 2009.Title of the talk: “Region of variability and Fekete Szeg¨o problem for exponentially convex univalent functions”.
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Talk at International conference on Complex Analysis and Related Topics, 12th Romannian-Finnish Seminar at University Turku, Finland, August 17-21, 2009.
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Invited talk in Turku Analysis seminar at Department of Mathematics, University of Turku, Finland on August 07, 2009.Title of the talk: “Region of variability for exponentially convex univalent functions”
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Talk at the Department of Mathematics, IIT Madras on July 02, 2009.Title of the talk: “Region of variability for functions with positive real part”.
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Invited talk in Turku Analysis Seminar at Department of Mathematics, University of Turku, Finland on January 30, 2008.Title of the talk: “Certain classes of univalent functions and radius problems”.
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Invited talk at Finnish Mathematical Days 2008 at Helsinki University of Technology, Helsinki, Finland, January 3-4, 2008.Title of the talk:“Region of variability for certain classes of univalent functions satisfying differential inequalities”.
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Talk in 22nd Annual conference of Ramanujan Mathematical Society at the Department of Mathematical and Computational Sciences, National Institute of Technology Surathkal, India during June 6-8, 2007.Title of the talk: “Region of variability for certain subclasses of univalent functions”
Teaching
Spring-2021
Mathematics-II (MA1L002)
Advanced Complex Analysis (MA7L003)
Autumn-2020:
Mathematics-I (MA1L001)
Spring-2020
Mathematics-II (MA1L002)
Advanced Complex Analysis (MA7L003)
Autumn-2019:
Mathematics-I (MA1L001)
Differential Geometry (MA5L022)
Summer Quarter:
Transform Calculus (MA2L005)
Spring-2019:
Mathematics-II (MA1L002)
Measure Theory and Integration (MA5L014)
Teaching at IIT Kharagpur:
Mathematics-I (MAL101),
Mathematics-II (MA10002),
Transform Calculus (MA20101),
Linear Algebra (MA20105),
Linear Algebra (MA41003/MA30003),
Real Analysis (MA31005/MA20012),
Complex Analysis (MA41006),
Advanced Complex Analysis (MA31002),
Modern Algebra (MA30002/MA41002),
Approximation Theory (MA61049),
Measure Theory and Integration (MA51002),
Theory of Operators (MA61032)