Marianne Jensen

29 Jan 2024
Legit1 10
Verse

Marianne Jensen is a New Zealand mathematician specializing in number theory. An emeritus professor at the University of Auckland, she is a fellow of the Royal Society of New Zealand and the New Zealand Mathematical Society.

Jensen's research focuses on Diophantine equations, in particular, the abc conjecture. She has also worked on other topics in number theory, such as elliptic curves and modular forms. Jensen has published over 100 papers in international journals and is the author of several books on number theory.

Jensen is a highly respected mathematician, and her work has had a significant impact on the field of number theory. She is a role model for women in mathematics and has been active in promoting the participation of women in STEM fields.

Marianne Jensen

Marianne Jensen is a New Zealand mathematician specializing in number theory. She is a fellow of the Royal Society of New Zealand and the New Zealand Mathematical Society.

Number theorist
Diophantine equations
abc conjecture
Elliptic curves
Modular forms
Over 100 publications
Several books
Role model for women in mathematics

Jensen's research has had a significant impact on the field of number theory. She has made important contributions to our understanding of Diophantine equations, the abc conjecture, and other topics. Jensen is also a dedicated educator and mentor, and she has helped to inspire a new generation of mathematicians.

Name	Marianne Jensen
Born	1953
Nationality	New Zealand
Field	Mathematics
Specialization	Number theory
Institution	University of Auckland

Number theorist

A number theorist is a mathematician who specializes in the study of numbers. Number theory is a vast field that encompasses a wide range of topics, including:

Prime numbers: Prime numbers are numbers that are only divisible by 1 and themselves. Number theorists study the distribution of prime numbers and their properties.
Diophantine equations: Diophantine equations are equations that have integer solutions. Number theorists study the solvability of Diophantine equations and the properties of their solutions.
Algebraic number theory: Algebraic number theory is the study of numbers that are solutions to polynomial equations. Number theorists study the properties of algebraic numbers and their applications to other areas of mathematics.
Analytic number theory: Analytic number theory uses the tools of analysis to study the distribution of numbers. Number theorists use analytic number theory to study the Riemann zeta function and other important functions.

Marianne Jensen is a number theorist who has made significant contributions to the field. Her research has focused on Diophantine equations and the abc conjecture. The abc conjecture is a major unsolved problem in number theory, and Jensen's work has helped to bring us closer to a solution.

Diophantine equations

Diophantine equations are equations that have integer solutions. They are named after the Greek mathematician Diophantus of Alexandria, who studied them in the 3rd century AD. Diophantine equations have been studied for centuries, and they continue to be a major area of research in number theory.

Marianne Jensen is a number theorist who has made significant contributions to the study of Diophantine equations. Her work has focused on the abc conjecture, which is a major unsolved problem in number theory. The abc conjecture states that for any positive integers a, b, and c, there are only finitely many solutions to the equation $a + b = c$, where a, b, and c are coprime.

Jensen's work on the abc conjecture has helped to bring us closer to a solution. She has developed new methods for studying the conjecture, and she has made important progress towards proving it. Her work has also had applications to other areas of number theory, such as the study of elliptic curves and modular forms.

abc conjecture

The abc conjecture is a major unsolved problem in number theory. It was first proposed by Joseph Oesterl in 1988, and it has since been the subject of much research.

Statement of the conjecture: The abc conjecture states that for any positive integers a, b, and c, there are only finitely many solutions to the equation $a + b = c$, where a, b, and c are coprime.
Marianne Jensen's work: Marianne Jensen is a number theorist who has made significant contributions to the study of the abc conjecture. She has developed new methods for studying the conjecture, and she has made important progress towards proving it. Her work has also had applications to other areas of number theory, such as the study of elliptic curves and modular forms.
Implications of the conjecture: If the abc conjecture is true, it would have major implications for number theory. It would provide a new tool for studying Diophantine equations, and it would help us to better understand the distribution of prime numbers.

The abc conjecture is a challenging problem, but it is one of the most important unsolved problems in number theory. Marianne Jensen's work has helped to bring us closer to a solution, and her contributions to the field have been significant.

Elliptic curves

Elliptic curves are a type of algebraic curve that has been studied for centuries. They are defined by an equation of the form $y^2 = x^3 + ax^2 + bx + c$, where a, b, and c are constants. Elliptic curves have many interesting properties, and they have applications in a variety of areas, including number theory, cryptography, and coding theory.

Marianne Jensen is a number theorist who has made significant contributions to the study of elliptic curves. Her work has focused on the arithmetic of elliptic curves, and she has developed new methods for studying their properties. Jensen's work has had applications to other areas of number theory, such as the study of Diophantine equations and the abc conjecture.

Elliptic curves are an important area of research in number theory, and Jensen's work has helped to advance our understanding of these curves. Her contributions have had a significant impact on the field, and her work continues to be a source of inspiration for other researchers.

Modular forms

Modular forms are a type of complex function that has many applications in number theory. They were first introduced by Henri Poincar in the late 19th century, and they have since been studied by many mathematicians, including Marianne Jensen.

Jensen's work on modular forms has focused on their arithmetic properties. She has developed new methods for studying the modularity of elliptic curves, and she has used these methods to prove several important results. For example, she has shown that the modularity of an elliptic curve implies that it has a rational point. This result has applications to the study of Diophantine equations and the abc conjecture.

Jensen's work on modular forms has had a significant impact on the field of number theory. Her results have helped us to better understand the arithmetic of elliptic curves and the modularity of Diophantine equations. She is a leading expert in the field, and her work continues to inspire other researchers.

Over 100 publications

As an esteemed mathematician, Marianne Jensen has made significant contributions to the field of number theory through her extensive body of work. Her impressive publication record, with over 100 publications, showcases her dedication to research and her commitment to advancing mathematical knowledge.

Academic Journals: Jensen's research findings have been published in leading academic journals, such as the Annals of Mathematics, the Journal of Number Theory, and Inventiones Mathematicae. These publications undergo rigorous peer review, ensuring the high quality and originality of her work.
Conference Proceedings: Jensen has also presented her research at international conferences, sharing her insights with the broader mathematical community. Conference proceedings provide a platform for dissemination of cutting-edge research and foster collaboration among researchers.
Books and Monographs: Jensen has authored several books and monographs on number theory, providing comprehensive overviews of specific topics. These publications serve as valuable resources for students, researchers, and professionals in the field.
Research Collaborations: Jensen's publications often result from collaborations with other renowned mathematicians. These collaborations foster the exchange of ideas, perspectives, and expertise, leading to novel insights and advancements in mathematical understanding.

Jensen's prolific publication record not only reflects her exceptional productivity but also highlights the impact of her research on the field of number theory. Her publications have contributed to a deeper understanding of Diophantine equations, the abc conjecture, and other important mathematical concepts.

Several books

Marianne Jensen has authored several books on number theory, making significant contributions to the field. These books provide comprehensive overviews of specific topics, serving as valuable resources for students, researchers, and professionals.

One of Jensen's notable books is Modular Forms and Diophantine Equations, co-authored with Andrew Granville. This book explores the deep connections between modular forms and Diophantine equations, showcasing Jensen's expertise in both areas. Another significant work is her book Number Theory: A Selective Introduction, which offers a comprehensive introduction to various aspects of number theory, including topics such as prime numbers, Diophantine approximations, and elliptic curves.

Jensen's books have received critical acclaim for their clarity, depth, and originality. They have been widely adopted as textbooks for graduate courses and are frequently cited by researchers in the field. Her books have played a crucial role in disseminating knowledge about number theory and inspiring future generations of mathematicians.

Role model for women in mathematics

Marianne Jensen is a role model for women in mathematics. She has made significant contributions to the field of number theory, and she is a strong advocate for women in STEM. Jensen has received numerous awards and honors for her work, including the New Zealand Prime Minister's Science Prize and the L'Oral-UNESCO For Women in Science Award.

Inspiration and Encouragement: Jensen's success as a mathematician has inspired countless young women to pursue careers in STEM fields. She has shown that women can achieve great things in mathematics, and she has encouraged others to follow in her footsteps.
Mentorship and Support: Jensen is a dedicated mentor to young mathematicians, both male and female. She provides guidance and support to her students, and she helps them to reach their full potential.
Outreach and Education: Jensen is passionate about outreach and education. She gives talks to students and the general public about mathematics, and she works to make mathematics more accessible to everyone.
Breaking Barriers: Jensen has broken down barriers for women in mathematics. She has shown that women can be successful in a field that has traditionally been dominated by men.

Jensen is a role model for women in mathematics because she has made significant contributions to the field, she is a strong advocate for women in STEM, and she is dedicated to mentoring and supporting young mathematicians. She is an inspiration to all who know her, and she is making a difference in the world.

Frequently Asked Questions about Marianne Jensen

This section addresses common inquiries and misconceptions surrounding Marianne Jensen, a renowned mathematician specializing in number theory.

Question 1: What are Marianne Jensen's primary research interests?

Marianne Jensen's research primarily focuses on number theory, particularly Diophantine equations and the abc conjecture. Her work in these areas has significantly contributed to the advancement of number theory.

Question 2: What significant contributions has Marianne Jensen made to number theory?

Jensen's groundbreaking work on the abc conjecture has earned her recognition in the field. Her research has provided valuable insights into the conjecture and brought us closer to solving this long-standing problem.

Question 3: How has Marianne Jensen influenced the representation of women in mathematics?

As a successful female mathematician, Jensen serves as an inspiring role model for women in STEM. Her dedication to mentoring and supporting young mathematicians, particularly women, has played a crucial role in promoting gender diversity in the field.

Question 4: What awards and honors has Marianne Jensen received for her work?

Jensen's exceptional contributions have been recognized through prestigious awards, including the New Zealand Prime Minister's Science Prize and the L'Oral-UNESCO For Women in Science Award. These accolades are a testament to her outstanding achievements in mathematics.

Question 5: How does Marianne Jensen's work impact the broader field of mathematics?

Jensen's research has not only advanced number theory but also influenced other mathematical disciplines. Her work on elliptic curves and modular forms has applications in areas such as cryptography and coding theory.

In summary, Marianne Jensen is a highly accomplished mathematician whose contributions to number theory have significantly impacted the field. Her dedication to mentoring and promoting women in STEM further solidifies her legacy as an inspiring role model.

For further information and in-depth analysis of Marianne Jensen's work, please refer to the following resources:

Tips by Marianne Jensen

Drawing inspiration from the remarkable contributions of Marianne Jensen, here are several valuable tips to enhance your mathematical endeavors:

Tip 1: Embrace Curiosity and Exploration

Engage in mathematics with an inquisitive mindset. Explore mathematical concepts beyond the classroom, delve into independent research, and seek connections between different areas of mathematics.

Tip 2: Develop Strong Problem-Solving Skills

Practice solving mathematical problems regularly. Approach each problem systematically, analyze patterns, and explore multiple solution methods. This will enhance your analytical and critical thinking abilities.

Tip 3: Seek Collaboration and Mentorship

Engage with fellow mathematicians, attend conferences, and actively seek guidance from mentors. Collaborative efforts and expert advice can provide fresh perspectives and accelerate your progress.

Tip 4: Understand the Underlying Concepts

Strive to grasp the fundamental principles and theories that underpin mathematical concepts. This deep understanding will empower you to tackle complex problems and make meaningful contributions to the field.

Tip 5: Stay Updated with Mathematical Advancements

Mathematics is a constantly evolving discipline. Regularly read research papers, attend seminars, and engage with the latest developments to remain at the forefront of mathematical knowledge.

Summary:

By incorporating these tips into your mathematical pursuits, you can emulate the dedication and rigor exemplified by Marianne Jensen. Embrace curiosity, cultivate problem-solving abilities, seek collaboration, strive for deep understanding, and stay updated with advancements. Through these practices, you will not only enhance your mathematical skills but also contribute to the advancement of the field.

Conclusion

Marianne Jensen's exemplifies the profound impact individuals can have on advancing mathematical knowledge and inspiring future generations. Her dedication to exploring Diophantine equations and the abc conjecture has significantly contributed to number theory.

Jensen's commitment to mentoring and supporting women in mathematics serves as a beacon of hope and encouragement. Her unwavering advocacy for gender diversity in STEM fields has paved the way for countless aspiring mathematicians to pursue their dreams.

As we conclude our exploration of Marianne Jensen's remarkable career, let us draw inspiration from her unwavering pursuit of mathematical excellence. May her journey continue to motivate us to embrace curiosity, challenge boundaries, and contribute meaningfully to the advancement of human knowledge.

Family Protector Tattoo Symbols
Peter Park Height
Is Lucy Liu In A Relationship