Latest Interviews

Harj Taggar - Choosing a Startup to Work At

Harj Taggar

Paul Buchheit and Harj advise that professionals should only join startups if they can accept lower pay and longer hours than stable large companies. Candidates must evaluate a venture by prioritizing its growth trajectory over absolute metrics, assessing founders based on their relative outperformance rather than credentials, and gauging the fanatical passion of early users. This rigorous screening framework ensures that job seekers treat their time and energy as a capital investment in a high-risk, high-reward environment.

Covid-19: what will it take to vaccinate the world?

Edward Carr

The global vaccination effort faces severe logistical hurdles and a sharp disparity where wealthy nations have hoarded doses while developing countries rely on candidates like AstraZeneca or the transparency-questioned Chinese and Russian alternatives. To counter this inequity, the COVAX facility aims to secure access for lower-income regions, drawing immediate support from the US after President Biden's inauguration to join 190 participating economies. Experts warn that shifting distribution models to prioritize global need over national self-interest is essential to saving millions of lives and preserving future international cooperation on systemic crises.

Tim Brady - How Much Equity Should I Give My First Employees?

Tim Brady

Startups typically allocate 10% to 20% of their equity to an employee pool, where early hires receive substantially larger grants ranging from 1% to 2% to compensate for high risk and chaotic working conditions. Founders must strategically balance cash and equity offers based on individual risk tolerance, ensuring that critical roles like an outside CEO or CTO do not prematurely deplete resources needed for future talent. Decades of Silicon Valley precedent suggest that granting generous ownership stakes to these early team members is essential for long-term engagement and maximizing the venture's chances of massive financial success.

Inflation: could covid-19 cause prices to rise?

Simon Cox

This analysis examines the collapse of the traditional Phillips curve relationship, which previously predicted that low unemployment would drive inflation, a dynamic that failed to materialize during the 2010s despite record-low joblessness. Various theories now compete to explain this anomaly, including anchored inflation expectations, globalization, and wage rigidity, while central banks have simultaneously shifted to unprecedented fiscal-monetary cooperation to address economic stagnation. Consequently, recent pandemic-era policies featuring massive government stimulus and near-zero interest rates aim to finally breach the persistent low-inflation trap and restore stable price growth.

What is history's deadliest pandemic?

A comprehensive analysis reveals malaria's profound historical role in shaping human migration, the transatlantic slave trade, and the geopolitical outcomes of World War II through its influence on genetics, economies, and military campaigns. While global infection rates have declined due to advanced treatments and targeted strategies like Senegal's genomic surveillance, the legacy of DDT usage remains linked to the origins of the modern environmental movement. Current eradication efforts face significant hurdles as researchers repurpose genomic tools for new pathogens while struggling to secure the estimated $2.7 billion in annual funding required to eliminate the disease by mid-century.

Mining the deep sea: the true cost to the planet

Kerry Howell, Matt Upton, Claire

As global demand for green technology minerals outstrips land-based reserves, deep-sea mining operations utilizing vehicles like the ROV Isis target vast deposits of critical metals in the Clarion-Clipperton Zone and hydrothermal vents. While proponents cite Japan's recent successful extraction and the urgency of replacing ethically problematic land mining, scientists warn that the unregulated exploration licenses issued by the International Seabed Authority threaten to destroy unique species and disrupt essential carbon-sequestering ecosystems. The International Seabed Authority is currently evaluating applications that could launch large-scale industrial extraction, prompting urgent calls to weigh these economic gains against the irreversible loss of unknown biodiversity and ecosystem services.

Public Debt: how much is too much?

Ryan Avent

Between April and June 2020, the United States borrowed a record $3 trillion while the global economy saw public debt surge by an estimated $300 billion due to pandemic-related spending. Historical precedents and favorable conditions, such as low interest rates, have traditionally allowed nations to sustain high debt levels, though experts warn that a potential rise in rates could threaten financial stability. Consequently, economists maintain that despite these risks, continued deficit spending remains essential to prevent lasting damage to the global recovery.

Stockmarket v economy: the impact of covid-19

Alice Fullwood

Amidst the 2020 pandemic crisis, the US stock market surged 38% despite widespread unemployment and racial unrest, driven primarily by Federal Reserve interventions that injected unprecedented liquidity into financial markets. This rally decoupled market performance from real-world economic conditions by disproportionately benefiting technology giants and wealthy asset holders, who own the vast majority of equities compared to lower-income households. While these central bank actions successfully prevented a total economic collapse, they simultaneously exacerbated wealth inequality and created a precarious dependency on federal stimulus for continued asset inflation.

Real Numbers – Episode 16, Finale

Sawyer

The final episode of Season 1 of *Real Numbers* derives five distinct mathematical solutions to the geometric distribution problem of calculating the expected number of half-court shots Danielle needs to make. The episode further analyzes a bonus problem involving two consecutive successes, demonstrating via a recursive state method that the expected attempts equal 30 rather than the intuitive estimate of 25. Concluding the season, the host solicits listener feedback on problem topics, format changes, and potential mathematical depth for the upcoming second season.

Real Numbers – Episode 15, The Half Court Shot

Sawyer

Host discusses probability theory by solving a problem where a student named Jayden schedules two or three exams across five weekdays, calculating expected spans of 1.6 and 2.4 days respectively through enumeration and linearity of expectation. The episode transitions to a new challenge involving a basketball player named Danielle who makes 20% of her half-court shots, asking listeners to determine the expected attempts needed for a single success and for two consecutive makes. While the mathematical framework for the exam scenarios is fully derived and verified, the solution to Danielle's geometric distribution problem remains pending for the listener to solve.

Real Numbers – Episode 13, How Many Snowboards Need Sharpening

Sawyer

This instructional session applies the linearity of expectation to calculate expected values in scenarios involving both independent and dependent selections. Using the marching band example, the analysis demonstrates how fixed global distributions alter probabilities while the method for summing indicator variables remains valid regardless of independence. The presentation concludes by challenging the audience to utilize this specific probabilistic framework to determine the expected number of snowboards requiring sharpening in a student-led lesson environment.

Real Numbers – Episode 12, Photographing the Chaotic Marching Band

Sawyer

The episode explores expected value and the linearity of expectation by first applying these concepts to a conditional probability problem involving a haunted forest monster. The instructors update monster type probabilities based on a 4-damage roll to calculate a resulting expected value of 5.5 for the second attack. The session concludes by introducing a problem of the week that contrasts independent choice scenarios with fixed pool distributions to determine the expected number of synchronized rows in a marching band.

Real Numbers – Episode 11, The Unknown Monster

Sawyer

The episode calculates the expected damage of a random monster attack by weighting uniform distributions across three difficulty tiers and determines the conditional expectation of a second attack following a four-damage outcome. A prior review solves the geometric optimization of a painting passing through a composite window, utilizing the Power of a Point theorem to prove the maximum height corresponds to the Golden Ratio. Both segments demonstrate how probabilistic weighting and geometric theorems can simplify complex mathematical problems into elegant, closed-form solutions.

Real Numbers – Episode 08, Crossing the River

Sawyer

Host Sawyer presents a physics challenge where viewers must calculate the precise aiming angle required for a boat traveling at an unknown speed to cross a 100-meter wide river with an unknown current and land at a specific downstream dock. The segment also revisits a previous geometry problem, confirming that reshaping a hemispherical slush cone involves removing a 3-cm radius circular section and moving a volume of $40\pi/3$ cubic centimeters. Sawyer concludes the episode by inviting the audience to submit their navigational bearings and diagrams for the river crossing solution.

The carbon cycle is key to understanding climate change

Oliver Morton

Human fossil fuel combustion has disrupted Earth's natural carbon equilibrium, accelerating the transition into the Anthropocene and trapping heat at unprecedented rates. While the "Growing Green" movement reflects public demand for reduction, current political and technological limitations, particularly regarding the scalability of negative emission schemes, prevent a rapid restoration of pre-industrial conditions. Ultimately, reversing this geological shift demands a fundamental transformation of the global economic structure, a process that will span centuries regardless of whether the transition is driven by policy or necessity.