Vuk Stojiljković

Applied Mathematician & Research Fellow
Novi Sad, RS.

About

Highly accomplished Applied Mathematician and Research Fellow with a distinguished academic record, including a Master's degree (9.62 GPA) and over 40 peer-reviewed publications in leading international journals. Specializing in Operator Theory, Functional Analysis, and advanced Inequalities, I possess a robust background in cutting-edge mathematical research. My expertise extends to high school mathematics education and extensive peer review contributions (155+ reviews), demonstrating a commitment to academic rigor and scientific discourse. I am poised to leverage deep analytical skills and a proven publication track record to drive impactful research and foster academic excellence.

Work

Mathematical Institute of the Serbian Academy of Sciences and Arts (SANU)
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Research Associate

Belgrade, Central Serbia, Serbia

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Summary

Engaging in advanced mathematical research, contributing to the institute's scientific output and collaborative projects within a leading academic institution.

Highlights

Conducting independent research in specialized areas of mathematics, contributing to the development of new theoretical frameworks and insights.

Collaborating with senior researchers on cutting-edge projects, enhancing research methodologies and contributing to significant academic outcomes.

Preparing and presenting complex research findings at internal seminars and broader conferences, actively participating in academic discourse.

Mathematical Gymnasium, Belgrade
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Part-time Mathematics Teacher

Belgrade, Central Serbia, Serbia

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Summary

Provided specialized instruction in Analysis and Algebra on a part-time basis, supporting students' ongoing mathematical development at a prestigious high school.

Highlights

Delivered focused lessons in Analysis and Algebra, adapting teaching methods to cater to diverse learning styles and academic levels.

Contributed to the academic success of students by reinforcing fundamental mathematical principles and introducing advanced topics.

Collaborated effectively with the faculty to maintain and enhance the high level of educational quality in mathematics.

Mathematical Gymnasium, Belgrade
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Full-time Mathematics Teacher

Belgrade, Central Serbia, Serbia

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Summary

Delivered comprehensive instruction in Analysis and Algebra to high school students, fostering a strong foundation in advanced mathematical concepts.

Highlights

Taught core curriculum in Analysis and Algebra, ensuring rigorous academic standards and deep understanding of complex subjects.

Developed engaging lesson plans and assessments to enhance student comprehension and problem-solving skills, improving learning outcomes.

Provided individualized support and mentorship to students, significantly contributing to their academic growth in advanced mathematical subjects.

Volunteer

Various Academic Journals
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Peer Reviewer

Remote, Global, ZZ

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Summary

Provided critical peer review services for over 155 academic submissions across numerous international mathematical journals, ensuring publication quality and scientific rigor.

Highlights

Completed over 155 peer reviews for leading mathematical journals, including AIMS Mathematics (5 reviews) and Axioms (8 reviews).

Evaluated manuscripts for scientific accuracy, methodological soundness, and theoretical contribution across diverse areas of mathematics.

Contributed to maintaining high academic standards and advancing the quality of published research in the field.

Education

University of Novi Sad, Faculty of Sciences
Novi Sad, Vojvodina, Serbia

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Master of Science

Mathematics

Grade: 9.62 (Current Average)

University of Novi Sad, Faculty of Sciences
Novi Sad, Vojvodina, Serbia

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Bachelor of Science

Mathematics

Grade: 7.36 (Average)

Publications

On q-Berezin number inequalities in reproducing kernel Hilbert space

Published by

Filomat

Summary

Co-authored a paper investigating q-Berezin number inequalities within the framework of reproducing kernel Hilbert spaces.

Various numerical radius inequalities concerning the refined Cauchy-Schwarz inequality

Published by

Bull. Malays. Math. Sci. Soc.

Summary

Co-authored a publication on various numerical radius inequalities, specifically addressing the refined Cauchy-Schwarz inequality.

Estimates of the numerical radius utilizing various function properties

Published by

Turkish Journal of Mathematics

Summary

Authored a paper detailing estimates of the numerical radius by leveraging diverse function properties.

Symmetries of Bernstein Polynomial Differentiation Matrices and Applications to Initial Value Problems

Published by

Symmetry

Summary

Co-authored research on the symmetries of Bernstein Polynomial Differentiation Matrices and their applications to initial value problems (IF: 2.7).

Refinement of the Cauchy-Schwartz inequality with refinements and generalizations of the numerical radius type inequalities for operators

Published by

Annals of Mathematics and Computer Science

Summary

Co-authored a paper on the refinement of the Cauchy-Schwarz inequality, including generalizations of numerical radius type inequalities for operators.

Generalized Tensorial Simpson type Inequalities for Convex functions of Selfadjoint Operators in Hilbert Space

Published by

Maltepe Journal of Mathematics

Summary

Authored a paper exploring generalized tensorial Simpson type inequalities for convex functions of selfadjoint operators in Hilbert space.

BEREZIN NUMBER INEQUALITIES FOR TWO AND ONE OPERATOR

Published by

Military Technical Courier

Summary

Co-authored an accepted paper on Berezin number inequalities for two and one operator, contributing to operator theory.

Some inequality and Berezin number type inequalities

Published by

Journal of Nonlinear Sciences and Applications

Summary

Co-authored a paper on various types of inequalities, including Berezin number type inequalities.

Generalization of the Buzano's inequality and Numerical radius inequalities

Published by

Journal of Applied and Pure Mathematics

Summary

Authored a paper on the generalization of Buzano's inequality and numerical radius inequalities.

BEREZIN RADIUS INEQUALITIES FOR FINITE SUMS OF FUNCTIONAL HILBERT SPACE OPERATORS

Published by

Gulf Journal of Mathematics

Summary

Authored a publication on Berezin radius inequalities for finite sums of functional Hilbert space operators.

Tensorial Simpson Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Space

Published by

Vol. 4

Summary

Authored a paper on tensorial Simpson type inequalities for convex functions of selfadjoint operators in Hilbert space.

Berezin radius type inequalities for functional Hilbert space operators

Published by

Electron. J. Math.

Summary

Authored a paper on Berezin radius type inequalities for functional Hilbert space operators.

Simpson Type Tensorial Norm Inequalities for Continuous Functions of Selfadjoint Operators in Hilbert Spaces

Published by

Creative Mathematics and Informatics

Summary

Authored a publication on Simpson type tensorial norm inequalities for continuous functions of selfadjoint operators in Hilbert spaces.

Variations of the Tensorial Trapezoid type Inequalities for Convex Functions Of Selfadjoint Operators In Hilbert Spaces

Published by

Symmetry

Summary

Co-authored research on variations of tensorial trapezoid type inequalities for convex functions of selfadjoint operators in Hilbert spaces (IF: 2.7).

REFINEMENTS AND VARIATIONS OF THE TENSORIAL TRAPEZOID INEQUALITIES FOR CONVEX FUNCTIONS OF SELFADJOINT OPERATORS IN HILBERT SPACES

Published by

Turkish Journal of Inequalities

Summary

Authored a paper on refinements and variations of tensorial trapezoid inequalities for convex functions of selfadjoint operators in Hilbert spaces.

Refinement of the Simpson Type Tensorial Norm Inequality for Continuous Functions of Selfadjoint Operators in Hilbert Spaces

Published by

Palestine Journal of Mathematics

Summary

Authored a publication on the refinement of the Simpson type tensorial norm inequality for continuous functions of selfadjoint operators in Hilbert spaces.

Differentiable Ostrowski Type Tensorial Norm Inequality for Continuous Functions of Selfadjoint Operators in Hilbert Spaces

Published by

Gulf Journal of Mathematics

Summary

Authored a paper on differentiable Ostrowski type tensorial norm inequality for continuous functions of selfadjoint operators in Hilbert spaces.

Series involving Dirichlet Eta function

Published by

Gulf Journal of Mathematics

Summary

Authored a publication investigating series involving the Dirichlet Eta function.

Twice Differentiable Ostrowski Type Tensorial Norm Inequality for Continuous Functions of Selfadjoint Operators in Hilbert Spaces

Published by

European Journal of Pure and Applied Mathematics

Summary

Authored a paper on twice differentiable Ostrowski type tensorial norm inequality for continuous functions of selfadjoint operators in Hilbert spaces.

New extensions of Hermite-Hadamard inequality

Published by

Contrib. Math.

Summary

Co-authored research presenting new extensions of the Hermite-Hadamard inequality.

'Twice Differentiable Ostrowski Type Tensorial Norm Inequality for Continuous Functions of Selfadjoint Operators in Hilbert Spaces'

Published by

Electronic Journal of Mathematical Analysis and Applications

Summary

Authored a publication on twice differentiable Ostrowski type tensorial norm inequality for continuous functions of selfadjoint operators in Hilbert spaces.

Some Refinements of the Tensorial Inequalities in Hilbert Spaces

Published by

Symmetry

Summary

Co-authored research on some refinements of the tensorial inequalities in Hilbert spaces (IF: 2.7).

Hermite-Hadamard-type fractional-integral inequalities for (p, h)-convex fuzzy-interval-valued mappings

Published by

Electron. J. Math.

Summary

Authored a paper on Hermite-Hadamard-type fractional-integral inequalities for (p, h)-convex fuzzy-interval-valued mappings.

Application of fixed point results in the setting of -contraction and simulation function in the setting of bipolar metric space

Published by

AIMS Mathematics

Summary

Co-authored research on the application of fixed point results within bipolar metric spaces, utilizing contraction and simulation functions (IF: 2.2).

Hermite Hadamard Type Inequalities Involving (k-p) Fractional Operator with (a, h - m) - p convexity

Published by

European Journal of Pure and Applied Mathematics

Summary

Authored a publication on Hermite Hadamard type inequalities involving (k-p) fractional operators with (a, h - m) - p convexity.

INTEGRAL TYPE BEREZIN RADIUS INEQUALITIES

Published by

De Gruyter Brill (Chapter in a Book Fixed Point Theory and Functional Analysis Metric Spaces, Banach Spaces, Hilbert Spaces)

Summary

Authored a book chapter exploring integral type Berezin radius inequalities within the context of fixed point theory and functional analysis in metric, Banach, and Hilbert spaces.

A new conformable fractional derivative and applications

Published by

Selecciones Matemáticas

Summary

Authored a paper introducing a new conformable fractional derivative and its applications in mathematical analysis.

Some Novel Inequalities for LR-(k,h-m)-p Convex Interval Valued Functions by Means of Pseudo Order Relation

Published by

Fractal Fract.

Summary

Co-authored research on novel inequalities for LR-(k,h-m)-p convex interval valued functions using pseudo order relation (IF: 5.4).

Fixed Points on Covariant and Contravariant Maps with an Application

Published by

Mathematics

Summary

Co-authored research on fixed points of covariant and contravariant maps, including practical applications (IF: 2.4).

Application of fixed point results in the setting of F-contraction and simulation function in the setting of bipolar metric space

Published by

AIMS Mathematics

Summary

Co-authored research on applying fixed point results in bipolar metric spaces using F-contraction and simulation functions (IF: 2.2).

Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting

Published by

Mathematics

Summary

Co-authored research on Riemann-Liouville fractional inclusions for convex functions in an interval valued setting (IF: 2.4).

Interpolativna uopštena Meir-Kelerova kontrakcija

Published by

Vojnotehnički glasnik

Summary

Co-authored a paper on interpolative generalized Meir-Keeler contractions in mathematical analysis.

Hermite-Hadamard Type Inequalities Involving (k-p) Fractional Operator for Various Types of Convex Functions

Published by

Fractal Fract.

Summary

Co-authored research on Hermite-Hadamard type inequalities involving (k-p) fractional operators for various convex functions (IF: 5.4).

Nov kombinatorni dokaz identiteta sa višestrukim binomnim koeficijentima

Published by

Vojnotehnički glasnik

Summary

Authored a paper presenting a new combinatorial proof of identities involving multiple binomial coefficients.

Sharp Bounds for Trigonometric and Hyperbolic Functions with Application to Fractional Calculus

Published by

Symmetry

Summary

Co-authored research establishing sharp bounds for trigonometric and hyperbolic functions, with applications to fractional calculus (IF: 2.7).

Various Series Concerning the Zeta Function

Published by

International Journal of Emerging Multidisciplinaries: Mathematics

Summary

Authored a publication exploring various series related to the Zeta Function in mathematical analysis.

Various Series Related to the Polylogarithmic Function

Published by

Axioms

Summary

Co-authored research on various series related to the Polylogarithmic Function (IF: 2.0).

Generalized order n fractional integrals

Published by

Innovative Journal of Mathematics (IJM)

Summary

Authored a paper on generalized order n fractional integrals, contributing to the field of fractional calculus.

Some harmonic identities.pdf

Published by

figshare. Octogon Mathematical Magazine

Summary

Authored a paper presenting some harmonic identities, published in Octogon Mathematical Magazine.

Harmonični niz sa polilogaritamskim funkcijama

Published by

Vojnotehnički glasnik

Summary

Co-authored a paper on harmonic series with polylogarithmic functions.

Languages

Serbian
English

Certificates

The 1st International Online Conference on Mathematics and Applications

Issued By

Conference Organizers

MDPI International Day of Mathematics Webinar 2023

Issued By

MDPI

Mathematics|Fractional Calculus and Its Applications Webinar

Issued By

Webinar Organizers

Mathematics|Recent Advances on Approximation Theory Webinar

Issued By

Webinar Organizers

Skills

Research & Analysis

Operator Theory, Functional Analysis, Numerical Analysis, Fixed Point Theory, Fractional Calculus, Mathematical Inequalities, Mathematical Modeling, Abstract Algebra, Real Analysis, Complex Analysis, Differential Equations, Tensor Analysis, Academic Writing, Scientific Computing.

Academic & Professional

Peer Review, Curriculum Development, Lesson Planning, Student Assessment, High School Mathematics Instruction, Algebra Instruction, Analysis Instruction, LaTeX, Collaborative Research.

Projects

Online Conference: Further Generalized Numerical Radius Inequalities for Hilbert Space Operators

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Summary

Scheduled presentation at an online conference on Advances in Operator Theory and Inequalities.

Seminar for Mathematical Analysis and Applications: Presentation of Results from Numerical Radius Inequalities

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Summary

Scheduled presentation at a seminar focusing on mathematical analysis and its applications.