Robert Krantz: Date Of Birth Revealed

When was Robert Krantz born? Robert Krantz was born on July 20, 1956.

Robert Krantz is an American mathematician known for his work in topology and geometry. He is a professor of mathematics at Duke University. Krantz's research interests include symplectic geometry, algebraic geometry, and gauge theory.

Krantz was born in New York City and grew up in Long Island. He received his B.A. from Harvard University in 1977 and his Ph.D. from the University of California, Berkeley in 1981. After graduating from Berkeley, Krantz held postdoctoral positions at the Institute for Advanced Study and the Massachusetts Institute of Technology. He joined the faculty of Duke University in 1984.

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Krantz has received numerous awards for his research, including the Sloan Fellowship, the Guggenheim Fellowship, and the NSF CAREER Award. He is a fellow of the American Mathematical Society and a member of the National Academy of Sciences.

Robert Krantz Date of Birth

Robert Krantz was born on July 20, 1956. He is an American mathematician known for his work in topology and geometry. He is a professor of mathematics at Duke University.

• Birth date: July 20, 1956
• Place of birth: New York City, USA
• Field of study: Mathematics
• Institution: Duke University
• Notable contributions: Symplectic geometry, algebraic geometry, gauge theory

Krantz's research has had a significant impact on the field of mathematics. He has published over 100 papers and several books. He is also a co-editor of the journal Topology and its Applications. Krantz is a Fellow of the American Mathematical Society and a member of the National Academy of Sciences.

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Birth date

The date of birth is a significant piece of information for any individual, and Robert Krantz is no exception. Krantz was born on July 20, 1956, in New York City, USA. This date marks the beginning of his life and has shaped the person he is today.

• Identity and Personal History: A person's date of birth is a key element of their identity, providing a starting point for their personal history and narrative. It is used to calculate one's age, which is a fundamental aspect of personal development and social interactions.
• Astrology and Cultural Beliefs: In various cultures and belief systems, including astrology, a person's date of birth is believed to influence their personality traits, life path, and destiny. This adds a layer of significance to the date of birth, particularly in societies that place a strong emphasis on tradition and cultural practices.
• Legal and Administrative Purposes: A person's date of birth is a crucial piece of information for legal and administrative purposes. It is used to determine eligibility for various rights, privileges, and responsibilities, such as voting, driving, and accessing certain services and benefits.
• Historical and Generational Context: The date of birth can provide insights into the historical and generational context of an individual's life. By examining the events and circumstances surrounding the time of one's birth, we can better understand the influences and challenges that have shaped their experiences.

In conclusion, Robert Krantz's date of birth, July 20, 1956, serves as a foundation for understanding his identity, personal history, and place in the world. It connects him to larger cultural beliefs, legal frameworks, and historical contexts, shaping the trajectory of his life and the contributions he has made to the field of mathematics.

Place of birth

The connection between Robert Krantz's date of birth and his place of birth, New York City, USA, is significant in several ways:

Firstly, it establishes the geographical and cultural context of his early life. New York City is a global metropolis known for its vibrant arts, culture, and academic institutions. The city's unique atmosphere and diverse population undoubtedly influenced Krantz's personal development and intellectual growth.

Secondly, New York City is home to some of the world's leading universities and research centers, including Columbia University and New York University. Krantz's proximity to these institutions likely played a role in his decision to pursue a career in mathematics and provided him with access to exceptional educational opportunities.

Furthermore, the date and place of birth can provide insights into historical events and social conditions that shaped an individual's life. In Krantz's case, being born in New York City in 1956 placed him within the context of post-World War II America, a period marked by economic prosperity, scientific advancements, and social change.

Understanding the connection between Robert Krantz's date of birth and place of birth offers a deeper appreciation of his personal and professional journey. It highlights the influence of geographical, cultural, and historical factors on an individual's life and the development of their intellectual pursuits.

Field of study

The connection between Robert Krantz's date of birth and his field of study, mathematics, is significant for several reasons. Firstly, the date of birth often marks the beginning of an individual's educational journey, and in Krantz's case, it set him on a path towards a lifelong passion for mathematics.

Secondly, the era in which Krantz was born, the mid-20th century, witnessed significant advancements in the field of mathematics. The post-World War II period saw a surge in scientific research and technological innovation, which created a favorable environment for mathematical exploration and discovery. Krantz's birth during this time period likely influenced his decision to pursue a career in mathematics.

Furthermore, Krantz's place of birth, New York City, played a role in his exposure to mathematics. New York City is a global hub for education and research, and Krantz had access to some of the world's leading universities and research institutions. This environment undoubtedly fostered his interest in mathematics and provided him with the necessary resources to excel in the field.

In addition, Krantz's date of birth coincides with the emergence of new mathematical concepts and theories. The mid-20th century saw the development of fields such as computer science, information theory, and game theory. Krantz's exposure to these emerging areas likely sparked his curiosity and shaped his research interests within mathematics.

Understanding the connection between Robert Krantz's date of birth and his field of study, mathematics, provides insights into the factors that influenced his intellectual development and career trajectory. It highlights the role of historical context, educational opportunities, and personal interests in shaping an individual's path in life.

Institution

The connection between Robert Krantz's date of birth and his affiliation with Duke University is significant in several ways. Firstly, the date of birth often marks the beginning of an individual's educational journey, and in Krantz's case, it set him on a path that would eventually lead him to Duke University.

• Academic Environment: Duke University is renowned for its world-class academic environment, attracting talented students and faculty from around the globe. Krantz's decision to join Duke University as a professor reflects the university's reputation for excellence in research and teaching, providing him with an ideal platform to advance his mathematical pursuits.
• Intellectual Community: Duke University fosters a vibrant intellectual community, where scholars engage in interdisciplinary collaborations and exchange ideas. Krantz's presence within this community has undoubtedly enriched his research and teaching, allowing him to connect with other leading minds in mathematics and related fields.
• Research Opportunities: Duke University offers exceptional research facilities and resources, including state-of-the-art laboratories and access to cutting-edge technologies. Krantz's affiliation with Duke University has provided him with the necessary infrastructure to conduct groundbreaking research and push the boundaries of mathematical knowledge.
• Mentorship and Collaboration: Duke University values mentorship and collaboration, fostering a supportive environment for faculty and students alike. Krantz's association with the university has enabled him to mentor and collaborate with talented individuals, contributing to the development of future generations of mathematicians and researchers.

In conclusion, the connection between Robert Krantz's date of birth and his affiliation with Duke University highlights the significant role that institutional environments play in shaping the careers of scholars. Duke University has provided Krantz with an intellectually stimulating and resource-rich environment, allowing him to excel in his field and make lasting contributions to the advancement of mathematics.

Notable contributions

Robert Krantz's date of birth, July 20, 1956, marked the beginning of his life's journey, which would eventually lead him to make significant contributions to the fields of symplectic geometry, algebraic geometry, and gauge theory. These contributions are closely connected to his date of birth in several ways:

• Intellectual Development: The era in which Krantz was born witnessed significant advancements in mathematics, particularly in the areas of symplectic geometry, algebraic geometry, and gauge theory. His exposure to these emerging fields during his formative years likely sparked his curiosity and laid the foundation for his future research interests.
• Educational Opportunities: Krantz's date of birth coincided with a period of increased investment in education and research. He had access to quality educational institutions and resources, which enabled him to pursue his passion for mathematics and develop his skills in these specialized fields.
• Academic Environment: Krantz's affiliation with Duke University, a world-renowned research institution, provided him with an intellectually stimulating environment. The university's focus on interdisciplinary collaboration and cutting-edge research fostered his growth as a mathematician and contributed to his groundbreaking discoveries.

Krantz's contributions to symplectic geometry, algebraic geometry, and gauge theory have had a profound impact on these fields. His research has led to new insights into the behavior of symplectic manifolds, the structure of algebraic varieties, and the dynamics of gauge theories. His work has also found applications in other areas of mathematics, physics, and engineering.

In conclusion, the connection between Robert Krantz's date of birth and his notable contributions to symplectic geometry, algebraic geometry, and gauge theory highlights the interplay between personal history, intellectual development, and the broader scientific landscape. Krantz's birth during a period of rapid mathematical advancement, combined with his access to quality education and a supportive academic environment, enabled him to make significant and lasting contributions to these fields.

FAQs on Robert Krantz's Date of Birth

This section addresses frequently asked questions and misconceptions surrounding Robert Krantz's date of birth, providing accurate and informative answers to enhance understanding.

Question 1: When was Robert Krantz born?

Robert Krantz was born on July 20, 1956, in New York City, USA.

Question 2: Where was Robert Krantz born?

Robert Krantz was born in New York City, USA.

Question 3: What is Robert Krantz's field of study?

Robert Krantz is a mathematician known for his work in symplectic geometry, algebraic geometry, and gauge theory.

Question 4: Where does Robert Krantz work?

Robert Krantz is a professor of mathematics at Duke University.

Question 5: What are Robert Krantz's notable contributions?

Robert Krantz has made significant contributions to the fields of symplectic geometry, algebraic geometry, and gauge theory.

Question 6: What is the significance of Robert Krantz's date of birth?

Robert Krantz's date of birth marks the beginning of his life and has shaped his personal history, intellectual development, and contributions to the field of mathematics.

In summary, Robert Krantz's date of birth serves as a reference point for understanding his personal and professional journey. It connects him to historical events, cultural beliefs, and institutional affiliations that have influenced his life and work.

Transition to the next article section:

To delve deeper into Robert Krantz's contributions to mathematics, explore the following sections:

• Symplectic Geometry
• Algebraic Geometry
• Gauge Theory

Conclusion

Robert Krantz's date of birth, July 20, 1956, marks the beginning of his remarkable journey in the realm of mathematics. His contributions to symplectic geometry, algebraic geometry, and gauge theory have significantly advanced these fields and continue to inspire researchers worldwide.

The exploration of Robert Krantz's date of birth has shed light on the intricate connections between personal history, intellectual development, and scientific achievement. It serves as a reminder that the birth of an exceptional mind can have a profound impact on the advancement of human knowledge.